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The Monotone Iterative Technique and periodic boundary value problem for First Order Impulsive Functional Differential Equations

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Acta Mathematica Sinica,English Series 2002年第2期18卷 253-262页

作者： HE Zhi Min Department of Applied Mathematics and Applied Software.Central South University.Changsha 410083.P.R.China E-mail:hezhimin@mail.csu.edu.cnGE Wei Gao Department of Applied Mathematics Beijing Institute of Technology.Beijing 100081,P.R.China E-mail:gew@*** Department of Applied Mathematics and Applied Software Central South University Changsha P. R. China Department of Applied Mathematics Beijing Institute of Technology Beijing P. R. China

This paper uses the method of upper and lower solutions and the monotone iterative technique to investigate the existence of maximal and minimal solutions of the periodic boundary value problem for first order impulsi... 详细信息

关键词： Impulsive functional differential equation Upper and lower solution Monotone iterative technique periodic boundary value problem

periodic boundary value problem FOR NONLINEAR INTEGRO-DIFFERENTIAL EQUATION OF MIXED TYPE ON TIME SCALES

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Annals of Differential Equations 2009年第2期25卷 195-207页

作者： Valery G.Romanovski Center for Applied Math. and Theoretical Physics University of Maribor

We prove several new comparison results and develop the monotone iterative technique to show the existence of extremal solutions to a kind of periodic boundary value problem (PBVP) for nonlinear integro-differential e... 详细信息

关键词： time scales integro-differential equations periodic boundary value problem iterative method

periodic boundary value problem FOR SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS

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Annals of Differential Equations 2004年第1期20卷 14-20页

作者：蔡建平 Dept of Math. Zhangzhou Teachers College Zhangzhou 363000

This paper investigates the periodic boundary value problems for a class of second order functional differential equations. The monotone iterative technique and the maximum principle are applied to obtain the existenc... 详细信息

关键词： periodic boundary value problem functional differential equation monotone iterative technique maximum principle

periodic boundary value problem for Second-order Impulsive Integro-differential Equation

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Chinese Quarterly Journal of Mathematics 2015年第2期30卷 227-235页

作者： ZHANG Lin-li LIU An-ping LIU Wei-an Department of Basic Course Haikou College of Economics Haikou 571127 China School of Math-ematics and Physics China University of Geosciences Wuhan 430074 China School of Mathematicsand Statistics Wuhan University Wuhan 430072 China

In this paper, the properties of solution of periodic boundary value problem for second-order impulsive integro-differential equation are discussed. Using the iterative analysis method, the existence and uniqueness of periodic solution and the sufficient condition for uniform stability of trivial solution are obtained, which extend the previous results on integro-differential equation in periodic boundary value problem.

关键词： iterative analysis periodic boundary value problem existence stability

periodic boundary value problem for Functional Differential Equations with Impulses 

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Journal of Beijing Institute of Technology 1999年第4期8卷 347-351页

作者：何智敏葛渭高北京理工大学应用数学系北京100081

Aim To investigate the periodic boundary value problem for functional differential equations with impulses. Methods The method of upper and lower solutions and the monotone iterative technique were used to establish our results. Results and Conclusion The results of the existence of maximal and minimal solutions of the periodic boundary value problem for functional differential equations with impulses are obtained.

关键词： functional differential equation upper and lower solutions monotone iterative technique periodic boundary value problem impulse

POSITIVE SOLUTIONS OF periodic boundary value problem FOR SECOND ORDER DIFFERENTIAL SYSTEMS

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Annals of Differential Equations 2005年第2期21卷 192-197页

作者： PengShiguo CollegeofAutomation GuangdongUniversityofTechnologyGuangzhou510090

In this paper, by utilizing a fixed point theorem on cone in Banach space, the author disscusses the periodic boundary value problem of second order differential systems. Some results on the existence of positive solu... 详细信息

关键词： second order differential systems periodic boundary value problem positive solution cone fixed point theorem

EXISTENCE OF POSITIVE SOLUTIONS TO SUBLINEAR SECOND-ORDER periodic boundary value problem

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Annals of Differential Equations 2013年第1期29卷 25-33页

作者： Shujun Jiang Dept. of Math. and Management Science Jiangxi University of Finance and Economics

In this paper, we consider a second-order periodic boundary value problem. By the topological degree theory and fixed point index theory, we prove the existence of positive solutions which gives the relationship between the first positive eigenvalue of the associated eigenvalue problem and the behavior of the nonlinear term of the system.

关键词： positive solutions periodic boundary value problem unbounded from below fixed point index theory topological degree

EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS TO THIRD-ORDER periodic boundary value problem

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Annals of Differential Equations 2011年第2期27卷 248-252页

作者： Fang Zhang , Feng Wang, Fuli Wang (School of Math. and Physics, Changzhou University, Changzhou 213164, Jiangsu)

The existence and multiplicity of positive solutions to a periodic boundary value problem for nonlinear third-order ordinary differential equation are established, based on the zero point theorem concerning cone expansion and compression of order type. Our main approach is different from the previous papers on the existence of multiple positive solutions to the similar problem.

关键词： zero point theorem concerning cone expansion and compression of order type cone periodic boundary value problem positive solutions

EXISTENCE FOR periodic boundary value problem OF FIRST-ORDER INTEGRO-DIFFERENTIAL EQUATIONS

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Annals of Differential Equations 2007年第4期23卷 581-585页

作者： Zhang Linli Liu Anping Chang Tao He Lianhua School of Math. and Physics China University of Geosciences Wuhan 430074 Dept. of Math and Physics Hubei University of Technology Wuhan 430068 School of Math. and Computer Science Guizhou Normal University Guiyang 550001

In this paper, by means of iterative analysis, the existence for periodic boundary value problem of first-order integro-differential differential equations are considered. Some new results are obtained.

关键词： iterative analysis periodic boundary value problem existence