Intelligent fault diagnosis is an important method in rotating machinery fault diagnosis and equipment health management.To deal with co-frequency vibration faults,a type of typical fault in rotating machinery,this pa...Intelligent fault diagnosis is an important method in rotating machinery fault diagnosis and equipment health management.To deal with co-frequency vibration faults,a type of typical fault in rotating machinery,this paper proposes a fault diagnosis method based on the stacked autoencoder(SAE)and ensembled ResNet-SVM.Furthermore,the time-and frequency-domain features of several co-frequency vibration faults are summarized based on the mechanism analysis and calculated using actual vibration data.To realize and validate the high-precision diagnosis method of rotating equipment with co-frequency faults proposed in this study,the following three criteria are required:First,to improve the effectiveness and robustness of the ensembled model and the sliding window using data augmentation,adding noise,autoencoder(AE)and SAE methods are analyzed in terms of principle and practical effects.Second,ResNet is used as the feature extractor for the ensembled ResNet-SVM model.Feature extraction is carried out twice,and the extracted co-frequency fault features are more comprehensive.Finally,the data augmentation method and ensemble ResNet-SVM are combined for fault diagnosis and compared with other methods.The experimental results show that the accuracy of the proposed method can exceed 99.9%.展开更多
For a set S of real numbers, we introduce the concept of S-almost automorphic functions valued in a Banach space. It generalizes in particular the space of Z-almost automorphic functions. Considering the space of S-al...For a set S of real numbers, we introduce the concept of S-almost automorphic functions valued in a Banach space. It generalizes in particular the space of Z-almost automorphic functions. Considering the space of S-almost automorphic functions, we give sufficient conditions of the existence and uniqueness of almost automorphic solutions of a differential equation with a piecewise constant argument of generalized type. This is done using the Banach fixed point theorem.展开更多
Stepping into 2024,with the increase of“knowledge density”of Chinese consumers,the“marketing discourse”of beauty brands has shifted from a perceptual“word game”to a serious“scientific argument”.Perhaps some br...Stepping into 2024,with the increase of“knowledge density”of Chinese consumers,the“marketing discourse”of beauty brands has shifted from a perceptual“word game”to a serious“scientific argument”.Perhaps some brands will shout“good times are coming”.But the reality is that communication turns out to be the weakest part between brand technology and consumers.Under the condition of technological“involution”and fragmented media ecology,the trust cost of brand communication is being pushed to a new high,and the efficiency of communication is rapidly decreasing.Many enterprises are trapped in the dilemma of content that is difficult to be expressed and communicated.展开更多
There is currently a massive movement advocating for the enhancement of biomedical research on aging,sometimes referred to as“longevity advocacy”or“longevity activism”[1].The principal argument of the longevity ad...There is currently a massive movement advocating for the enhancement of biomedical research on aging,sometimes referred to as“longevity advocacy”or“longevity activism”[1].The principal argument of the longevity advocacy movement is that the therapies developed by biomedical research of aging should enable us to directly intervene in the aging process and thus prevent multiple aging-related diseases,thereby extending healthy longevity.展开更多
This paper focuses on the analytical and numerical asymptotical stability of neutral reaction-diffusion equations with piecewise continuous arguments.First,for the analytical solutions of the equations,we derive their...This paper focuses on the analytical and numerical asymptotical stability of neutral reaction-diffusion equations with piecewise continuous arguments.First,for the analytical solutions of the equations,we derive their expressions and asymptotical stability criteria.Second,for the semi-discrete and one-parameter fully-discrete finite element methods solving the above equations,we work out the sufficient conditions for assuring that the finite element solutions are asymptotically stable.Finally,with a typical example with numerical experiments,we illustrate the applicability of the obtained theoretical results.展开更多
Contrary to the approach in judicial practice,Paragraph 1,Article 153,of the Civil Code of the People’s Republic of China,as a rule of invalidity for violating mandatory provisions,does not adopt a dichotomy towards ...Contrary to the approach in judicial practice,Paragraph 1,Article 153,of the Civil Code of the People’s Republic of China,as a rule of invalidity for violating mandatory provisions,does not adopt a dichotomy towards mandatory provisions with effectiveness and administrative characteristics,yet it maintains the legislative philosophy of differentiation.It leaves unspecified whether mandatory provisions that do not explicitly render a juristic act invalid impact the act’s validity,entrusting this determination to the discretion of judges on a case-by-case basis.When judges,under the authority of Paragraph 1,Article 153 of the Civil Code,explore the normative intent of mandatory provisions to assess their effect on the validity of juristic acts,they should engage in legal policy analysis centered on consequence-based argumentation to overcome the limitations of norm typological analysis.This analysis employs a reasoning model predicated on the normative purpose,utilizing a consequencefocused interpretative approach for formulating and arguing propositions of rules applicable to pending cases,thereby arriving at case-specific conclusions.Since the invalidation of juristic acts serves as an auxiliary regulatory tool for the state economy and society,a consequence-oriented interpretation needs to be based on the idea of mutual instrumentalization of public and private laws.This entails predicting the outcomes of negating the validity of a juristic act in industrial regulatory scenarios and assessing these outcomes within the framework of public and private regulatory instruments.展开更多
John Locke’s tolerance theory involves the core issue of the relationship between reason and belief in the philosophy of religion.However,there is always controversy over whether the scope of adaptation of this theor...John Locke’s tolerance theory involves the core issue of the relationship between reason and belief in the philosophy of religion.However,there is always controversy over whether the scope of adaptation of this theory is within a religion,between religions,or in a broader field.Considering that the overall moral approach of Locke’s philosophy requires the workmanship argument as a defense,and examining it from this point of view,it can be found that Locke’s efforts to transcend Creationism with this argument have resulted in a successful breakthrough,which makes tolerance not only a religion topic,but also a social principle.展开更多
Climate change lawsuits represented by strategic litigation have become a new force to promote global climate governance. Among them, using the norms and theories of human rights law to present litigation claims, cond...Climate change lawsuits represented by strategic litigation have become a new force to promote global climate governance. Among them, using the norms and theories of human rights law to present litigation claims, conduct legal reasoning, and form human rights-based argumentation has been one of the most successful strategies for climate change lawsuits. The Paris Agreement marked a major watershed for human rights-based argumentation in climate change lawsuits: Before the signing of the Agreement, human rights-based argumentation in climate change lawsuits remained in its trial stage;since the signing of the Paris Agreement, as a litigation strategy, it has become more flexible and diversified, as its relationship with climate governance is becoming increasingly complicated. The uncertainty of climate legal obligation and the process of legalization of climate targets have fostered new dimensions for human rights-based argumentation: Shifting from an accountability logic to a litigation strategy, from international law to domestic law, from holding governments accountable to holding enterprises accountable. There are micro, medium, and macro paths to clarify the human rights-based argumentation, all leading to truly integrating human rights perspectives and ideas into a nation’s specific process of climate governance and valuing and leveraging the value of human rights-based argumentation as a tool, so as to achieve the goal of climate governance.展开更多
To study a class of boundary value problems of parabolic differential equations with deviating arguments, averaging technique, Green’s formula and symbol function sign(·) are used. The multi dimensional problem...To study a class of boundary value problems of parabolic differential equations with deviating arguments, averaging technique, Green’s formula and symbol function sign(·) are used. The multi dimensional problem was reduced to a one dimensional oscillation problem for ordinary differential equations or inequalities. Two oscillatory criteria of solutions for systems of parabolic differential equations with deviating arguments are obtained.展开更多
设l∈N,δ=k/p-k+1/2,以及<p<1.本文的主要结果是建立广义BochnerRiesz平均的核的某种分解: ((1-|ξ|~l)~σ+)^(x)=sum from f=1 to J(k,l,p) b_f((1-|ξ|~2)ь+ζ)^(x)+T(|x|),其中T满足 T^(n+1)(s)≤cmin{(1+s)_(k-n-2),(1+s)^(...设l∈N,δ=k/p-k+1/2,以及<p<1.本文的主要结果是建立广义BochnerRiesz平均的核的某种分解: ((1-|ξ|~l)~σ+)^(x)=sum from f=1 to J(k,l,p) b_f((1-|ξ|~2)ь+ζ)^(x)+T(|x|),其中T满足 T^(n+1)(s)≤cmin{(1+s)_(k-n-2),(1+s)^(-k,p)},0<s<∞以及n=[K(1/p-1)]·作为上述分解的一个直接结果,我们得到:临界阶广义Bochner-Riesz平均在H^p(R^k)上的a.e.收敛性。展开更多
Aim To study a class of boundary value problem of hyperbolic partial functional differential equations with continuous deviating arguments. Methods An averaging technique was used. The multi dimensional problem was...Aim To study a class of boundary value problem of hyperbolic partial functional differential equations with continuous deviating arguments. Methods An averaging technique was used. The multi dimensional problem was reduced to a one dimensional oscillation problem for ordinary differential equations or inequalities. Results and Conclusion The known results of oscillation of solutions for a class of boundary value problem of hyperbolic partial functional differential equations with discrete deviating arguments are generalized, and the oscillatory criteria of solutions for such equation with two kinds of boundary value conditions are obtained.展开更多
Aim To study properties of solutions to a class of second order differential inequality with continuous distributed deviating arguments. Methods A direct analysis technique was used. Results and Conclusion Some suf...Aim To study properties of solutions to a class of second order differential inequality with continuous distributed deviating arguments. Methods A direct analysis technique was used. Results and Conclusion Some sufficient conditions that ensure a class of second order delay differential inequality having no eventually positive solutions were obtained, which generalized some given results. Using the results, some oscillatory criteria for solutions of the hyperbolic equation with distributed deviating arguments can be established.展开更多
Based on the perspective of the schema theory and modern education technology,In this paper,the method of ran dom experimnet is used to measure how two types of schema instruction‘video clip’and‘multimedia coursew...Based on the perspective of the schema theory and modern education technology,In this paper,the method of ran dom experimnet is used to measure how two types of schema instruction‘video clip’and‘multimedia courseware’influence Chinese college students’reading comprehension of English argumentation.The results illustrate the schema instruction can not only develop the students’sensibility of English argumentation structure,but also activate the schema in students’memory.Mul timedia courseware instruction is superior to video clip instruction.The paper proposes its viewpoints concerned.展开更多
In this paper, we consider the existence of bounded solution of functional differential equation of advanced type with nonlinear perturbation term form of undur the initial condition It is shown that if there exists t...In this paper, we consider the existence of bounded solution of functional differential equation of advanced type with nonlinear perturbation term form of undur the initial condition It is shown that if there exists the bounded solution of linear equation form of and certain condition bearing on the mapping H(t,x are satisfied, then there exists the bounded solution of equation (*) satistys initial condition(**).展开更多
In this paper,the oscillation of solutions of hyperbolic partial functional differential equations is studied,and oscillatory criteria of solutions with three kinds of boundary conditions are obtained.
Based on Mansevich-Mawhin continuation theorem and some analysis skill,some sufficient conditions for the existence of periodic solutions for mixed type p-Laplacian equation with deviating arguments are established,...Based on Mansevich-Mawhin continuation theorem and some analysis skill,some sufficient conditions for the existence of periodic solutions for mixed type p-Laplacian equation with deviating arguments are established,which are complement of previously known results.展开更多
This article briefly reviews wind turbine aerodynamics, which follows an explanation of the aerodynamic complexity. The aerodynamic models including blade momentum theory, vortex wake model, dynamic stall and rotation...This article briefly reviews wind turbine aerodynamics, which follows an explanation of the aerodynamic complexity. The aerodynamic models including blade momentum theory, vortex wake model, dynamic stall and rotational effect, and their applications in wind turbine aerodynamic performance prediction are discussed and documented. Recent progress in computational fluid dynamics for wind turbine is addressed. Wind turbine aerodynamic experimental studies are also selectively introduced.展开更多
Goal of this research is to suggest a typology of verbal aggressiveness, argumentativeness and motivational climate influence, pointing out examples of complementary types (namely containing no identical components) a...Goal of this research is to suggest a typology of verbal aggressiveness, argumentativeness and motivational climate influence, pointing out examples of complementary types (namely containing no identical components) and nested types (containing identical components). Complete network analysis was conducted in a student class at the Dept. of Physical Education and Sport Sciences, University of Thessaly (N = 66). Standardized questionnaires were used. Network analysis and Principal Component Analysis were implemented using Visone software and SPSS, respectively. Main results were: in the typology of targeting, parameters of motivation climate, verbal aggressiveness and argumentativeness were combined in several types (“affable ambitious”, “isolated victim”, “isolated ambitious”, “lightly victimized” and “severely victimized”) which were partially complementary and partially nested into each other. These depict student profiles vary from quite socialized and invulnerable to only isolated and victimized. They also reveal the significance of seeking knowledge acquirement vs. performance. The typology of general involvement (in- and out-degree) contains types tending to be rather nested into each other than complementary which varies from quite integrative to purely deconstructive appearance. This typology depicts the connection of motivation climate (and the subsequently induced familiarity) with verbal aggressiveness without diminishing susceptibility to argumentation. The fact that the typology of targeting is composed of several complementary types while in the typology of general involvement mainly of nested ones, can be attributed to the structural clarity of the former ones (a typology focusing展开更多
The object of this article is to introduce new classes of meromorphic functions associated with conic regions. Several properties like the coefficient bounds, growth and distortion theorems, radii of starlikeness and ...The object of this article is to introduce new classes of meromorphic functions associated with conic regions. Several properties like the coefficient bounds, growth and distortion theorems, radii of starlikeness and convexity, partial sums, are investigated. Some consequences of the main results for the well-known classes of meromorphic functions are also pointed out.展开更多
The oscillations of a class of vector parabolic partial differential equations with continuous distribution arguments are studied.By employing the concept of H-oscillation and the method of reducing dimension with inn...The oscillations of a class of vector parabolic partial differential equations with continuous distribution arguments are studied.By employing the concept of H-oscillation and the method of reducing dimension with inner product,the multi-dimensional oscillation problems are changed into the problems of which one-dimensional functional differential inequalities have not eventually positive solution.Some new sufficient conditions for the H-oscillation of all solutions of the equations are obtained under Dirichlet boundary condition,where H is a unit vector of RM.展开更多
基金Supported by National Natural Science Foundation of China (Grant No.51875031)Beijing Municipal Natural Science Foundation (Grant No.3212010)。
文摘Intelligent fault diagnosis is an important method in rotating machinery fault diagnosis and equipment health management.To deal with co-frequency vibration faults,a type of typical fault in rotating machinery,this paper proposes a fault diagnosis method based on the stacked autoencoder(SAE)and ensembled ResNet-SVM.Furthermore,the time-and frequency-domain features of several co-frequency vibration faults are summarized based on the mechanism analysis and calculated using actual vibration data.To realize and validate the high-precision diagnosis method of rotating equipment with co-frequency faults proposed in this study,the following three criteria are required:First,to improve the effectiveness and robustness of the ensembled model and the sliding window using data augmentation,adding noise,autoencoder(AE)and SAE methods are analyzed in terms of principle and practical effects.Second,ResNet is used as the feature extractor for the ensembled ResNet-SVM model.Feature extraction is carried out twice,and the extracted co-frequency fault features are more comprehensive.Finally,the data augmentation method and ensemble ResNet-SVM are combined for fault diagnosis and compared with other methods.The experimental results show that the accuracy of the proposed method can exceed 99.9%.
文摘For a set S of real numbers, we introduce the concept of S-almost automorphic functions valued in a Banach space. It generalizes in particular the space of Z-almost automorphic functions. Considering the space of S-almost automorphic functions, we give sufficient conditions of the existence and uniqueness of almost automorphic solutions of a differential equation with a piecewise constant argument of generalized type. This is done using the Banach fixed point theorem.
文摘Stepping into 2024,with the increase of“knowledge density”of Chinese consumers,the“marketing discourse”of beauty brands has shifted from a perceptual“word game”to a serious“scientific argument”.Perhaps some brands will shout“good times are coming”.But the reality is that communication turns out to be the weakest part between brand technology and consumers.Under the condition of technological“involution”and fragmented media ecology,the trust cost of brand communication is being pushed to a new high,and the efficiency of communication is rapidly decreasing.Many enterprises are trapped in the dilemma of content that is difficult to be expressed and communicated.
文摘There is currently a massive movement advocating for the enhancement of biomedical research on aging,sometimes referred to as“longevity advocacy”or“longevity activism”[1].The principal argument of the longevity advocacy movement is that the therapies developed by biomedical research of aging should enable us to directly intervene in the aging process and thus prevent multiple aging-related diseases,thereby extending healthy longevity.
文摘This paper focuses on the analytical and numerical asymptotical stability of neutral reaction-diffusion equations with piecewise continuous arguments.First,for the analytical solutions of the equations,we derive their expressions and asymptotical stability criteria.Second,for the semi-discrete and one-parameter fully-discrete finite element methods solving the above equations,we work out the sufficient conditions for assuring that the finite element solutions are asymptotically stable.Finally,with a typical example with numerical experiments,we illustrate the applicability of the obtained theoretical results.
文摘Contrary to the approach in judicial practice,Paragraph 1,Article 153,of the Civil Code of the People’s Republic of China,as a rule of invalidity for violating mandatory provisions,does not adopt a dichotomy towards mandatory provisions with effectiveness and administrative characteristics,yet it maintains the legislative philosophy of differentiation.It leaves unspecified whether mandatory provisions that do not explicitly render a juristic act invalid impact the act’s validity,entrusting this determination to the discretion of judges on a case-by-case basis.When judges,under the authority of Paragraph 1,Article 153 of the Civil Code,explore the normative intent of mandatory provisions to assess their effect on the validity of juristic acts,they should engage in legal policy analysis centered on consequence-based argumentation to overcome the limitations of norm typological analysis.This analysis employs a reasoning model predicated on the normative purpose,utilizing a consequencefocused interpretative approach for formulating and arguing propositions of rules applicable to pending cases,thereby arriving at case-specific conclusions.Since the invalidation of juristic acts serves as an auxiliary regulatory tool for the state economy and society,a consequence-oriented interpretation needs to be based on the idea of mutual instrumentalization of public and private laws.This entails predicting the outcomes of negating the validity of a juristic act in industrial regulatory scenarios and assessing these outcomes within the framework of public and private regulatory instruments.
文摘John Locke’s tolerance theory involves the core issue of the relationship between reason and belief in the philosophy of religion.However,there is always controversy over whether the scope of adaptation of this theory is within a religion,between religions,or in a broader field.Considering that the overall moral approach of Locke’s philosophy requires the workmanship argument as a defense,and examining it from this point of view,it can be found that Locke’s efforts to transcend Creationism with this argument have resulted in a successful breakthrough,which makes tolerance not only a religion topic,but also a social principle.
基金achievement of the 70t h batch of Post-doctoral Science“Judicial Governance of Carbon Peaking and Carbon Neutrality Compliance from the Perspective of China-US Competition”(2021M702103)。
文摘Climate change lawsuits represented by strategic litigation have become a new force to promote global climate governance. Among them, using the norms and theories of human rights law to present litigation claims, conduct legal reasoning, and form human rights-based argumentation has been one of the most successful strategies for climate change lawsuits. The Paris Agreement marked a major watershed for human rights-based argumentation in climate change lawsuits: Before the signing of the Agreement, human rights-based argumentation in climate change lawsuits remained in its trial stage;since the signing of the Paris Agreement, as a litigation strategy, it has become more flexible and diversified, as its relationship with climate governance is becoming increasingly complicated. The uncertainty of climate legal obligation and the process of legalization of climate targets have fostered new dimensions for human rights-based argumentation: Shifting from an accountability logic to a litigation strategy, from international law to domestic law, from holding governments accountable to holding enterprises accountable. There are micro, medium, and macro paths to clarify the human rights-based argumentation, all leading to truly integrating human rights perspectives and ideas into a nation’s specific process of climate governance and valuing and leveraging the value of human rights-based argumentation as a tool, so as to achieve the goal of climate governance.
文摘To study a class of boundary value problems of parabolic differential equations with deviating arguments, averaging technique, Green’s formula and symbol function sign(·) are used. The multi dimensional problem was reduced to a one dimensional oscillation problem for ordinary differential equations or inequalities. Two oscillatory criteria of solutions for systems of parabolic differential equations with deviating arguments are obtained.
文摘设l∈N,δ=k/p-k+1/2,以及<p<1.本文的主要结果是建立广义BochnerRiesz平均的核的某种分解: ((1-|ξ|~l)~σ+)^(x)=sum from f=1 to J(k,l,p) b_f((1-|ξ|~2)ь+ζ)^(x)+T(|x|),其中T满足 T^(n+1)(s)≤cmin{(1+s)_(k-n-2),(1+s)^(-k,p)},0<s<∞以及n=[K(1/p-1)]·作为上述分解的一个直接结果,我们得到:临界阶广义Bochner-Riesz平均在H^p(R^k)上的a.e.收敛性。
文摘Aim To study a class of boundary value problem of hyperbolic partial functional differential equations with continuous deviating arguments. Methods An averaging technique was used. The multi dimensional problem was reduced to a one dimensional oscillation problem for ordinary differential equations or inequalities. Results and Conclusion The known results of oscillation of solutions for a class of boundary value problem of hyperbolic partial functional differential equations with discrete deviating arguments are generalized, and the oscillatory criteria of solutions for such equation with two kinds of boundary value conditions are obtained.
文摘Aim To study properties of solutions to a class of second order differential inequality with continuous distributed deviating arguments. Methods A direct analysis technique was used. Results and Conclusion Some sufficient conditions that ensure a class of second order delay differential inequality having no eventually positive solutions were obtained, which generalized some given results. Using the results, some oscillatory criteria for solutions of the hyperbolic equation with distributed deviating arguments can be established.
文摘Based on the perspective of the schema theory and modern education technology,In this paper,the method of ran dom experimnet is used to measure how two types of schema instruction‘video clip’and‘multimedia courseware’influence Chinese college students’reading comprehension of English argumentation.The results illustrate the schema instruction can not only develop the students’sensibility of English argumentation structure,but also activate the schema in students’memory.Mul timedia courseware instruction is superior to video clip instruction.The paper proposes its viewpoints concerned.
文摘In this paper, we consider the existence of bounded solution of functional differential equation of advanced type with nonlinear perturbation term form of undur the initial condition It is shown that if there exists the bounded solution of linear equation form of and certain condition bearing on the mapping H(t,x are satisfied, then there exists the bounded solution of equation (*) satistys initial condition(**).
文摘In this paper,the oscillation of solutions of hyperbolic partial functional differential equations is studied,and oscillatory criteria of solutions with three kinds of boundary conditions are obtained.
基金Foundation item: Supported by the Foundation of Education Department of Jiangxi Province(G J J11234) Supported by the Natural Science Foundation of Jiangxi Province(2009GQS0023) Supported by the Natural Science Foundation of Shangrao Normal University(1001)
文摘Based on Mansevich-Mawhin continuation theorem and some analysis skill,some sufficient conditions for the existence of periodic solutions for mixed type p-Laplacian equation with deviating arguments are established,which are complement of previously known results.
文摘This article briefly reviews wind turbine aerodynamics, which follows an explanation of the aerodynamic complexity. The aerodynamic models including blade momentum theory, vortex wake model, dynamic stall and rotational effect, and their applications in wind turbine aerodynamic performance prediction are discussed and documented. Recent progress in computational fluid dynamics for wind turbine is addressed. Wind turbine aerodynamic experimental studies are also selectively introduced.
文摘Goal of this research is to suggest a typology of verbal aggressiveness, argumentativeness and motivational climate influence, pointing out examples of complementary types (namely containing no identical components) and nested types (containing identical components). Complete network analysis was conducted in a student class at the Dept. of Physical Education and Sport Sciences, University of Thessaly (N = 66). Standardized questionnaires were used. Network analysis and Principal Component Analysis were implemented using Visone software and SPSS, respectively. Main results were: in the typology of targeting, parameters of motivation climate, verbal aggressiveness and argumentativeness were combined in several types (“affable ambitious”, “isolated victim”, “isolated ambitious”, “lightly victimized” and “severely victimized”) which were partially complementary and partially nested into each other. These depict student profiles vary from quite socialized and invulnerable to only isolated and victimized. They also reveal the significance of seeking knowledge acquirement vs. performance. The typology of general involvement (in- and out-degree) contains types tending to be rather nested into each other than complementary which varies from quite integrative to purely deconstructive appearance. This typology depicts the connection of motivation climate (and the subsequently induced familiarity) with verbal aggressiveness without diminishing susceptibility to argumentation. The fact that the typology of targeting is composed of several complementary types while in the typology of general involvement mainly of nested ones, can be attributed to the structural clarity of the former ones (a typology focusing
文摘The object of this article is to introduce new classes of meromorphic functions associated with conic regions. Several properties like the coefficient bounds, growth and distortion theorems, radii of starlikeness and convexity, partial sums, are investigated. Some consequences of the main results for the well-known classes of meromorphic functions are also pointed out.
基金Supported by the Science Research Foundation of Administration of Education of Hunan Province(07C164)
文摘The oscillations of a class of vector parabolic partial differential equations with continuous distribution arguments are studied.By employing the concept of H-oscillation and the method of reducing dimension with inner product,the multi-dimensional oscillation problems are changed into the problems of which one-dimensional functional differential inequalities have not eventually positive solution.Some new sufficient conditions for the H-oscillation of all solutions of the equations are obtained under Dirichlet boundary condition,where H is a unit vector of RM.