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
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 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
In this paper, the stability and bifurcation behaviors of a predator-prey model with the piecewise constant arguments and time delay are investigated. Technical approach is fully based on Jury criterion and bifurcatio...In this paper, the stability and bifurcation behaviors of a predator-prey model with the piecewise constant arguments and time delay are investigated. Technical approach is fully based on Jury criterion and bifurcation theory. The interesting point is that the model will produce two different branches by limiting branch parameters of different intervals. Besides, image simulation is also given.展开更多
In this paper, we investigate the existence, uniqueness and the asymptotic equiv- alence of a linear system and a perturbed system of differential equations with piecewise alternately advanced and retarded argument of...In this paper, we investigate the existence, uniqueness and the asymptotic equiv- alence of a linear system and a perturbed system of differential equations with piecewise alternately advanced and retarded argument of generalized type (DEPCAG). This is based in the study of an equivalent integral equation with Cauchy and Green matrices type and in a solution of a DEPCAG integral inequality of Gronwall type. Several examples are also given to show the feasibility of results.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
In this paper, we consider <i>r</i>-generalization of the central factorial numbers with odd arguments of the first and second kind. Mainly, we obtain various identities and properties related to these num...In this paper, we consider <i>r</i>-generalization of the central factorial numbers with odd arguments of the first and second kind. Mainly, we obtain various identities and properties related to these numbers. Matrix representation and the relation between these numbers and Pascal matrix are given. Furthermore, the distributions of the signless r-central factorial numbers are derived. In addition, connections between these numbers and the Legendre-Stirling numbers are given.展开更多
A class of hyperbolic equations with continuous distributed deviating arguments is considered and its oscillation theorems are discussed.These theorems are of higher degree of generality and deal with the cases which ...A class of hyperbolic equations with continuous distributed deviating arguments is considered and its oscillation theorems are discussed.These theorems are of higher degree of generality and deal with the cases which are not covered by the known criteria.Particularly,these criteria extend and unify a number of existing results.展开更多
In this paper we establish new oscillation criteria for all solution of the first order differential equation with deviating argument. Our result can be applied to the case when coefficients and deviating arguments ar...In this paper we establish new oscillation criteria for all solution of the first order differential equation with deviating argument. Our result can be applied to the case when coefficients and deviating arguments are oscillatory and essentially improve the known results in the literature.展开更多
In this paper, we point out some small mistakes in [6] and revise them, we obtain some new oscillation results for certain even order neutral differential equations with deviating arguments. Our results extend and imp...In this paper, we point out some small mistakes in [6] and revise them, we obtain some new oscillation results for certain even order neutral differential equations with deviating arguments. Our results extend and improve many known oscillation criteria because the article just generalizes Meng and Xu’s results.展开更多
In the present article, we apply the modified piecewise variational iteration method to obtain the approximate analytical solutions of the differential equations with piecewise continuous arguments. This technique pro...In the present article, we apply the modified piecewise variational iteration method to obtain the approximate analytical solutions of the differential equations with piecewise continuous arguments. This technique provides a sequence of functions which converges to the exact solution of the problem. Moreover, this method reduces the volume of calculations because it does not need discretization of the variables, linearization or small perturbations. The results seem to show that the method is very reliable and convenient for solving such equations.展开更多
The main purpose of this article is to present the initial phase of the project in the field of argumentation theory and political philosophy. Project concerns studies of different types of rationality in the context ...The main purpose of this article is to present the initial phase of the project in the field of argumentation theory and political philosophy. Project concerns studies of different types of rationality in the context of the argumentation. Background consideration is the problem of incommensurability and incompatibility types of rationality in political and ideological disputes. The first step is the establishment of a category of argumentative potential as a criterion for the typology of argument, which will build a map of argumentation, which will provide a starting point for a discussion. Apart from demonstrating the disproportion of discourses, the conclusion of the argument is to prove the local character of rationality.展开更多
To detect more attacks aiming at key security data in program behavior-based anomaly detection,the data flow properties were formulated as unary and binary relations on system call arguments.A new method named two-phr...To detect more attacks aiming at key security data in program behavior-based anomaly detection,the data flow properties were formulated as unary and binary relations on system call arguments.A new method named two-phrase analysis(2PA)is designed to analyze the efficient relation dependency,and its description as well as advantages are discussed.During the phase of static analysis,a dependency graph was constructed according to the program's data dependency graph,which was used in the phase of dynamic learning to learn specified binary relations.The constructed dependency graph only stores the information of related arguments and events,thus improves the efficiency of the learning algorithm and reduces the size of learned relation dependencies.Performance evaluations show that the new method is more efficient than existing methods.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
This study investigated the effect of explicit instruction about DCs in argumentative writings by 15 Chinese learners of English. This study involved in a 4-week experiment. Pre-and post-writing tests were quantitativ...This study investigated the effect of explicit instruction about DCs in argumentative writings by 15 Chinese learners of English. This study involved in a 4-week experiment. Pre-and post-writing tests were quantitatively analyzed to examine whether the explicit instruction about DCs had a significant effect on the students'argumentative writing. The findings revealed that the ex-plicit instruction of the target DCs facilitated the improvement of the participants in their argumentative writing .展开更多
In this paper we introduce new classes of analytic functions with fixed argument of coefficients defined by subordination. Coefficient estimates, distortion theorems, integral means inequalities, and the radii of conv...In this paper we introduce new classes of analytic functions with fixed argument of coefficients defined by subordination. Coefficient estimates, distortion theorems, integral means inequalities, and the radii of convexity and starlikeness are investigated. Convolution properties are also pointed out.展开更多
By means of Mawhin's continuation theorem,we study a kind of lie'nard functional differential equations:x"(t)+f(x(t))x'(t)+g(t,x(t-τ(t))) = e(t).Some new results on the existence and uniqueness of pe...By means of Mawhin's continuation theorem,we study a kind of lie'nard functional differential equations:x"(t)+f(x(t))x'(t)+g(t,x(t-τ(t))) = e(t).Some new results on the existence and uniqueness of periodic solutions are obtained.展开更多
Based on the theoretical foundation of thematic progression construction, this paper introduces several common patterns of thematic progression and attempts to find applicability of patterns of thematic progression in...Based on the theoretical foundation of thematic progression construction, this paper introduces several common patterns of thematic progression and attempts to find applicability of patterns of thematic progression in the teaching of CET-4 argumentative writing from the perspective of discourse so as to show the implication of these patterns for the teaching of college English writing.展开更多
This paper centers on the research on the enhancement of the argumentative writing ability of medical school learners through Email.And in recent years,the argumentative writing has been examined much more frequently ...This paper centers on the research on the enhancement of the argumentative writing ability of medical school learners through Email.And in recent years,the argumentative writing has been examined much more frequently that other writing styles in Band-4 Exams.As to how to enhance their argumentative writing ability,the author tries to use Email as a way of communication.Email as an instantaneous communication way,could be used to the utmost in this research.All the data collected for this research is true.The author made a careful analysis.And this paper will give us the result of this practice.展开更多
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.
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.
基金supported by Beijing Higher Education Young Elite Teacher(YETP0458)
文摘In this paper, the stability and bifurcation behaviors of a predator-prey model with the piecewise constant arguments and time delay are investigated. Technical approach is fully based on Jury criterion and bifurcation theory. The interesting point is that the model will produce two different branches by limiting branch parameters of different intervals. Besides, image simulation is also given.
文摘In this paper, we investigate the existence, uniqueness and the asymptotic equiv- alence of a linear system and a perturbed system of differential equations with piecewise alternately advanced and retarded argument of generalized type (DEPCAG). This is based in the study of an equivalent integral equation with Cauchy and Green matrices type and in a solution of a DEPCAG integral inequality of Gronwall type. Several examples are also given to show the feasibility of results.
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.
文摘In this paper, we consider <i>r</i>-generalization of the central factorial numbers with odd arguments of the first and second kind. Mainly, we obtain various identities and properties related to these numbers. Matrix representation and the relation between these numbers and Pascal matrix are given. Furthermore, the distributions of the signless r-central factorial numbers are derived. In addition, connections between these numbers and the Legendre-Stirling numbers are given.
基金Supported by the NNSF of China(A011403)Supported by the Young Teachers Science Foundation of Beijing University of Civil Engineering and Architecture(100804107)
文摘A class of hyperbolic equations with continuous distributed deviating arguments is considered and its oscillation theorems are discussed.These theorems are of higher degree of generality and deal with the cases which are not covered by the known criteria.Particularly,these criteria extend and unify a number of existing results.
文摘In this paper we establish new oscillation criteria for all solution of the first order differential equation with deviating argument. Our result can be applied to the case when coefficients and deviating arguments are oscillatory and essentially improve the known results in the literature.
文摘In this paper, we point out some small mistakes in [6] and revise them, we obtain some new oscillation results for certain even order neutral differential equations with deviating arguments. Our results extend and improve many known oscillation criteria because the article just generalizes Meng and Xu’s results.
文摘In the present article, we apply the modified piecewise variational iteration method to obtain the approximate analytical solutions of the differential equations with piecewise continuous arguments. This technique provides a sequence of functions which converges to the exact solution of the problem. Moreover, this method reduces the volume of calculations because it does not need discretization of the variables, linearization or small perturbations. The results seem to show that the method is very reliable and convenient for solving such equations.
文摘The main purpose of this article is to present the initial phase of the project in the field of argumentation theory and political philosophy. Project concerns studies of different types of rationality in the context of the argumentation. Background consideration is the problem of incommensurability and incompatibility types of rationality in political and ideological disputes. The first step is the establishment of a category of argumentative potential as a criterion for the typology of argument, which will build a map of argumentation, which will provide a starting point for a discussion. Apart from demonstrating the disproportion of discourses, the conclusion of the argument is to prove the local character of rationality.
文摘To detect more attacks aiming at key security data in program behavior-based anomaly detection,the data flow properties were formulated as unary and binary relations on system call arguments.A new method named two-phrase analysis(2PA)is designed to analyze the efficient relation dependency,and its description as well as advantages are discussed.During the phase of static analysis,a dependency graph was constructed according to the program's data dependency graph,which was used in the phase of dynamic learning to learn specified binary relations.The constructed dependency graph only stores the information of related arguments and events,thus improves the efficiency of the learning algorithm and reduces the size of learned relation dependencies.Performance evaluations show that the new method is more efficient than existing methods.
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This study investigated the effect of explicit instruction about DCs in argumentative writings by 15 Chinese learners of English. This study involved in a 4-week experiment. Pre-and post-writing tests were quantitatively analyzed to examine whether the explicit instruction about DCs had a significant effect on the students'argumentative writing. The findings revealed that the ex-plicit instruction of the target DCs facilitated the improvement of the participants in their argumentative writing .
文摘In this paper we introduce new classes of analytic functions with fixed argument of coefficients defined by subordination. Coefficient estimates, distortion theorems, integral means inequalities, and the radii of convexity and starlikeness are investigated. Convolution properties are also pointed out.
基金Foundation item: Supported by the Anhui Natural Science Foundation(050460103) Supported by the NSF of Anhui Educational Bureau(KJ2008B247) Supported by the RSPYT of Anhui Educational Bu- reau(2008jq1111)
文摘By means of Mawhin's continuation theorem,we study a kind of lie'nard functional differential equations:x"(t)+f(x(t))x'(t)+g(t,x(t-τ(t))) = e(t).Some new results on the existence and uniqueness of periodic solutions are obtained.
文摘Based on the theoretical foundation of thematic progression construction, this paper introduces several common patterns of thematic progression and attempts to find applicability of patterns of thematic progression in the teaching of CET-4 argumentative writing from the perspective of discourse so as to show the implication of these patterns for the teaching of college English writing.
文摘This paper centers on the research on the enhancement of the argumentative writing ability of medical school learners through Email.And in recent years,the argumentative writing has been examined much more frequently that other writing styles in Band-4 Exams.As to how to enhance their argumentative writing ability,the author tries to use Email as a way of communication.Email as an instantaneous communication way,could be used to the utmost in this research.All the data collected for this research is true.The author made a careful analysis.And this paper will give us the result of this practice.