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ON THE EXISTENCE OF POSITIVE almost periodic solutionS TO AN IMPULSIVE NEURAL NETWORKS WITH DELAY

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Annals of Differential Equations 2012年第4期28卷 385-391页

作者： Chunhua Feng,Meijiao Yu College of Mathematical Science,Guangxi Normal University,Guilin 541004,Guangxi

In this paper,Hopfield neural networks with delays and impulses are *** means of mathematical analysis techniques,some sufficient conditions for the existence of positive almost periodic solutions are obtained.

关键词： impulsive neural networks almost periodic solution delay

ON almost periodic solutionS OF AHIGHER ORDER almost periodic SYSTEM

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Annals of Differential Equations 1997年第3期13卷 296-303页

作者：王全义华侨大学 362011

This paper deals with the problems on the existence and uniqueness and stability of almost periodic solutions of a higher almost periodic system. We establish the sufficient conditions which guarantee the existence an... 详细信息

关键词： almost periodic solution existence uniqueness stability

ON THE EXISTENCE AND UNIQUENESS OF almost periodic solutionS TO DISCRETE TWO-SPECIES COMPETITIVE SYSTEMS

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Annals of Differential Equations 2008年第3期24卷 306-316页

作者： Niu Chengying (School of Statistics, Lanzhou University of Finance and Economics, Lanzhou 730020) Chen Xiaoxing (College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350002)

In this paper, we consider almost periodic discrete two-species competitive sys-tems. By using Lyapunov functional, the existence conditions and uniqueness of almost periodic solutions for the this type of systems are... 详细信息

关键词： discrete competitive system Lyapunov function uniformly asymp-totically stable almost periodic solution existence and uniqueness

EXISTENCE AND EXPONENTIAL STABILITY OF almost periodic solutionS TO BAM RECURRENT NEURAL NETWORKS WITH TRANSMISSION DELAYS AND CONTINUOUSLY DISTRIBUTED DELAYS

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Annals of Differential Equations 2012年第4期28卷 435-444页

作者： Junyan Xu College of Math.and Computer Science,Fuzhou University,Fuzhou 350108

In this paper,a class of bidirectional associative memory(BAM) recurrent neural networks with delays are *** a fixed point theorem and a Lyapunov functional,some new sufficient conditions for the existence,uniqueness and global exponential stability of the almost periodic solutions are *** conditions are easy to be verified and our results complement the previous known results.

关键词： recurrent neural networks almost periodic solution exponential stability delays

PERMANENCE,periodic AND almost periodic solutionS OF NONAUTONOMOUS STAGE STRUCTURED POPULATION DYNAMICS WITH TIME DELAY AND DIFFUSION

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Annals of Differential Equations 2003年第4期19卷 505-516页

作者：李锋杰罗桂烈刘丙辰 Math.and Comp.Science College Guangxi Normal UniversityGulin 541004 Math.and Comp.Science College Guangxi Normal UniversityGuilin 541004

A nonautonomous stage-structured two species model with time delay and diffusion is considered. It is shown that the system is uniformly persistent under some conditions. By discussing the independent subsystem, more brief sufficient conditions are drawn for a unique positive periodic solution which is globally attractive and the existence of the positive almost periodic solution which is uniformly asymptotically stable by the Razumikhin function method.

关键词： time-delay stage-structured diffusion periodic solution almost periodic solution

ON THE EXISTENCE OF almost periodic solutionS OF SOME DELAY DIFFERENTIAL EQUATIONS

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Annals of Differential Equations 2004年第1期20卷 30-36页

作者：冯春华 Dept. of Math. Guangxi Normal University Guilin 541004

By means of exponential dichotomy, this paper investigates the existence of almost periodic solutions of some delay differential equations.

关键词： delay differential equation exponential dichotomy almost periodic solution existence

POSITIVE almost periodic solutionS OF n DIMENSIONAL NONAUTONOMOUS LOTKA-VOLTERRA COMPETITIVE SYSTEMS

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Annals of Differential Equations 2007年第4期23卷 400-404页

作者： Dishen Jiabu The Chinese People＇s Armed Police Force Academy Langfang 065000 Hebei

In this paper, we study some n dimensional nonautonomous Lotka-Volterra competitive ecological systems. We then obtain permanence of such systems, as well as the existence, uniqueness and global asymptotic stability o... 详细信息

关键词： permanence almost periodic solution uniqueness global asymptotic stability

periodic solutionS AND almost periodic solutionS OF A NONAUTONOMOUS PREDATOR-PREY SYSTEM WITH STAGE-STRUCTURE AND DELAY

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Annals of Differential Equations 2003年第2期19卷 182-194页

作者：欧柳曼罗桂烈 Dept.of Math. Zhongshan UniversityGuangzhou 510275 Dept.of Math. Guangxi Normal UniversityGuilin 541004

In this paper, by using the comparing theorem, Razumikhin-type theorem and V-function method, we consider a nonautonomous predator-prey system with stage-structure and time-delay. We get the sufficient conditions for the uniform persistence and the solutions global attractivity of this system. For a periodic system, we obtain the existence and uniqueness of a positive periodic solution of this system. For an almost periodic system, we prove the existence and the uniform asymptotic stability of the almost periodic solutions of this system.

关键词： predator-prey system stage-structure time-delay uniform per sistence periodic solution almost periodic solution

ON THE LASOTA-WAZEWSKA MODEL WITH PIECEWISE CONSTANT ARGUMENT

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Acta Mathematica Scientia 2006年第2期26卷 371-378页

作者：冯秋香袁荣 College of Statistics Shanxi University of Finance and Economics Shanxi 030006China Department of Mathematic Beijing Normal University Beijing 100875China

In this article, a delay differential equation with piecewise constant argument is considered; the existence and global attractivity condition of almost periodic solution and quasi-periodic solution are obtained.

关键词： almost periodic solution quasi-periodic solution piecewise constant argument