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Oscillation of Systems of Parabolic Differential Equations with Deviating Arguments 被引量:1
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作者 邓立虎 王宏洲 葛渭高 《Journal of Beijing Institute of Technology》 EI CAS 2001年第1期12-16,共5页
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
关键词 systems of parabolic differential equations boundary value problem deviating arguments OSCILLATION
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On a Class of Second Order Differential Inequality with Continuous Distributed Deviating Arguments
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作者 王培光 葛渭高 《Journal of Beijing Institute of Technology》 EI CAS 1999年第4期337-341,共5页
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
关键词 INEQUALITY distributed deviating arguments positive solution
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FLIP AND N-S BIFURCATION BEHAVIOR OF A PREDATOR-PREY MODEL WITH PIECEWISE CONSTANT ARGUMENTS AND TIME DELAY 被引量:1
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作者 尚随明 田玉 张雅静 《Acta Mathematica Scientia》 SCIE CSCD 2017年第6期1705-1726,共22页
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
关键词 piecewise constant arguments time delay flip bifurcation N-S bifurcation stability
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Generalized Central Factorial Numbers with Odd Arguments 被引量:1
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作者 Youmna H. Zaid F. A. Shiha B. S. El-Desouky 《Open Journal of Modelling and Simulation》 2020年第3期61-72,共12页
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
关键词 Generalized Central Factorial Numbers with Odd arguments Pascal Matrix Legendre-Stirling Numbers
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A two-phase system call arguments attribute analyzing method
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作者 李红娇 李建华 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2008年第4期573-577,共5页
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
关键词 program behavior-based anomaly detection system call arguments data flow dependency 2PA method
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Further Oscillation Results for a Class of Hyperbolic Equations with Continuous Distributed Deviating Arguments
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作者 ZHANG Meng SONG Guo-hua 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第1期145-151,共7页
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
关键词 oscillation criteria hyperbolic equations continuous distributed deviating arguments
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Analytical Approach to Differential Equations with Piecewise Continuous Arguments via Modified Piecewise Variational Iteration Method
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作者 Qi Wang 《Journal of Applied Mathematics and Physics》 2014年第1期26-31,共6页
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
关键词 Delay Differential EQUATIONS PIECEWISE CONTINUOUS arguments VARIATIONAL ITERATION Method Approximation
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Periodic Solutions of Mixed Type p-Laplacian Equations with Deviating Arguments 被引量:5
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作者 WANG Xiao-ming 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第2期177-182,共6页
Based on Mansevich-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 Mansevich-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
关键词 P-LAPLACIAN periodic solutions mixed type deviating argument Man’asevichMawhin continuation theorem
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New Criteria for Oscillation of Vector Parabolic Equations with Continuous Distribution Arguments 被引量:3
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作者 LI Yuan-dan LUO Li-ping YU Yuan-hong 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第2期260-264,共5页
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
关键词 H-oscillation VECTOR parabolic equation continuous distribution argument
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ASYMPTOTIC EQUIVALENCE OF ALTERNATELY ADVANCED AND DELAYED DIFFERENTIAL SYSTEMS WITH PIECEWISE CONSTANT GENERALIZED ARGUMENTS 被引量:1
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作者 Kuo-Shou CHIU 《Acta Mathematica Scientia》 SCIE CSCD 2018年第1期220-236,共17页
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
关键词 piecewise constant argument of generalized type hybrid equations EQUIVALENCE asymptotic behavior Gronwall's inequality
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Political Reasoning and the Typology of Arguments in the Context of Political Philosophy
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作者 Lukasz Perlikowski 《Journal of Philosophy Study》 2015年第9期453-468,共16页
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
关键词 typology of argumentation argumentative potential political philosophy New Rhetoric politicalreasoning universal audience verbalism Faustian Bargain
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New Results on Oscillation of even Order Neutral Differential Equations with Deviating Arguments
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作者 Lianzhong Li Fanwei Meng 《Advances in Pure Mathematics》 2011年第3期49-53,共5页
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
关键词 OSCILLATION NEUTRAL DIFFERENTIAL EQUATION Deviating ARGUMENT
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Oscillation of Differential Equations with Deviating Arguments
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作者 Yong Zhou (Department of Mathematics, Xiangtan University, Xiangtan, 411 105 ) Y. H. Yu (Institute of Applied Mathematics, Academia Sinica, Beijing, 100080) 《数学理论与应用》 1999年第2期116-118,共3页
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
关键词 OSCILLATION DIFFERENTIAL EQUATION deviating argument.
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THE CONVERGENCE OF TRUNCATED EULER-MARUYAMA METHOD FOR STOCHASTIC DIFFERENTIAL EQUATIONS WITH PIECEWISE CONTINUOUS ARGUMENTS UNDER GENERALIZED ONE-SIDED LIPSCHITZ CONDITION
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作者 Yidan Geng Minghui Song Mingzhu Liu 《Journal of Computational Mathematics》 SCIE CSCD 2023年第4期663-682,共20页
In this paper,we consider the stochastic differential equations with piecewise continuous arguments(SDEPCAs)in which the drift coefficient satisfies the generalized one-sided Lipschitz condition and the diffusion coef... In this paper,we consider the stochastic differential equations with piecewise continuous arguments(SDEPCAs)in which the drift coefficient satisfies the generalized one-sided Lipschitz condition and the diffusion coefficient satisfies the linear growth condition.Since the delay term t-[t]of SDEPCAs is not continuous and differentiable,the variable substitution method is not suitable.To overcome this dificulty,we adopt new techniques to prove the boundedness of the exact solution and the numerical solution.It is proved that the truncated Euler-Maruyama method is strongly convergent to SDEPCAs in the sense of L'(q≥2).We obtain the convergence order with some additional conditions.An example is presented to illustrate the analytical theory. 展开更多
关键词 Stochastic differential equations Piecewise continuous argument One-sided Lipschitz condition Truncated Euler-Maruyama method
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L^(2)Schrödinger Maximal Estimates Associated with Finite Type Phases in R^(2)
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作者 Zhuo Ran LI Jun Yan ZHAO Teng Fei ZHAO 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2024年第11期2809-2839,共31页
In this paper,we establish Schrödinger maximal estimates associated with the finite type phaseФ(ξ_(1),ξ_(2)):=ξ_(1)^(m)+ξ_(2)^(m),where m≥4 is an even number.Following[12],we prove an L2 fractal restriction... In this paper,we establish Schrödinger maximal estimates associated with the finite type phaseФ(ξ_(1),ξ_(2)):=ξ_(1)^(m)+ξ_(2)^(m),where m≥4 is an even number.Following[12],we prove an L2 fractal restriction estimate associated with the surface{(ξ_(1),ξ_(2),Ф(ξ_(1),ξ_(2))):(ξ_(1),ξ_(2)∈[0,]^(2)}as the main result,which also gives results on the average Fourier decay of fractal measures associated with these surfaces.The key ingredients of the proof include the rescaling technique from[16],Bourgain-Demeter’sℓ^(2)decoupling inequality,the reduction of dimension arguments from[17]and induction on scales.We notice that our Theorem 1.1 has some similarities with the results in[8].However,their results do not cover ours.Their arguments depend on the positive definiteness of the Hessian matrix of the phase function,while our phase functions are degenerate. 展开更多
关键词 Pointwise convergence finite type DECOUPLING reduction of dimension arguments
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Periodicity and Stability in Periodic n-Species Lotka-Volterra Competition System with Feedback Controls and Deviating Arguments 被引量:17
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作者 MengFAN KeWANG +1 位作者 PatriciaJ.Y.WONG RaviP.AGARWAL 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2003年第4期801-822,共22页
By using the method of coincidence degree and Lyapunov functional, a set ofeasily applicable criteria are established for the global existence and global asymptotic stabilityof strictly positive (componentwise) period... By using the method of coincidence degree and Lyapunov functional, a set ofeasily applicable criteria are established for the global existence and global asymptotic stabilityof strictly positive (componentwise) periodic solution of a periodic n-species Lotka-Volterracompetition system with feedback controls and several deviating arguments. The problem considered inthis paper is in many aspects more general and incorporate as special cases various problems whichhave been studied extensively in the literature. Moreover, our new criteria, which improve andgeneralize some well known results, can be easily checked. 展开更多
关键词 strictly positive periodic solutions globally asymptotic stability Lotka-Volterra competition system feedback controls deviating arguments coincidence degree Lyapunov functional
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EXISTENCE AND UNIQUENESS OF ANTI-PERIODIC SOLUTIONS TO AN nTH-ORDER NONLINEAR DIFFERENTIAL EQUATION WITH MULTIPLE DEVIATING ARGUMENTS 被引量:13
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作者 Jianzhong Xu 1,2,Zongfu Zhou 1 (1.Dept.of Math.,Bozhou Teachers College,Bozhou 236800,Anhui,2.School of Mathematical Sciences,Anhui University,Hefei 230039) 《Annals of Differential Equations》 2012年第1期105-114,共10页
In this paper,we use the Leray-Schauder degree theory to establish some new results on the existence and uniqueness of anti-periodic solutions to an nth-order nonlinear differential equation with multiple deviating ar... In this paper,we use the Leray-Schauder degree theory to establish some new results on the existence and uniqueness of anti-periodic solutions to an nth-order nonlinear differential equation with multiple deviating arguments. 展开更多
关键词 anti-periodic solution Leray-Schauder degree deviating arguments continuation theorem
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Almost Periodic Solutioiis of Neutral Differential Difference Equations with Piecewise Constant Arguments 被引量:3
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作者 PIAO Da Xiong Department of Mathematics,Fushun Petroleum Institute.Fushun 113001,P.R.China E-mail:piaodx@fspu.edu.cn 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2002年第2期263-276,共14页
In this paper,we study the existence of almost periodic solutions of neutral differential difference equations with piecewise constant arguments via difference equation methods.
关键词 Almost periodic functions Almost periodic sequences Piecewise constant arguments Neutral differential difference equations
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Weighted Pseudo Almost Periodic Solutions of N-th Order Neutral Differential Equations with Piecewise Constant Arguments 被引量:3
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作者 Rong Kun ZHUANG Rong YUAN 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2014年第7期1259-1272,共14页
In this work, we present some existence theorems of weighted pseudo almost periodic solutions for N-th order neutral differential equations with piecewise constant argument by means of weighted pseudo almost periodic ... In this work, we present some existence theorems of weighted pseudo almost periodic solutions for N-th order neutral differential equations with piecewise constant argument by means of weighted pseudo almost periodic solutions of relevant difference equations. 展开更多
关键词 Weighted pseudo almost periodic sequence weighted pseudo almost periodic solution neutral differential equation piecewise constant arguments
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OSCILLATORY AND ASYMPTOTIC BEHAVIOR OF FIRST ORDER DIFFERENTIAL EQUATION WITH PIECEWISE CONSTANT DEVIATING ARGUMENTS 被引量:4
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作者 冯月才 戴运恩 《Annals of Differential Equations》 1999年第4期345-351,共7页
In this paper, we consider the oscillatory and asymptotic behavior of solu-tions of first order nonlinear neutral differential equation with piecewise constantdeviating arguments. Several criteria are obtained for osc... In this paper, we consider the oscillatory and asymptotic behavior of solu-tions of first order nonlinear neutral differential equation with piecewise constantdeviating arguments. Several criteria are obtained for oscillatory and asymptoticbehavior of solutions of the equation. 展开更多
关键词 PIECEWISE CONSTANT deviating arguments neutral differential equa-tion OSCILLATORY BEHAVIOR asymptotic BEHAVIOR
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