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THE EXISTENCE AND UNIQUENESS AND STABILITY OF almost periodic solutionS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS

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Chinese Annals of Mathematics,Series B 1997年第2期18卷 233-242页

作者： WANG QUANHNYI Department of Mathematics Huaqiao UniversityQuanzhouFujian 362011China.

This paper deals with the problems on the existence and uniqueness and stability of almost periodic solutions for functional differential equations with infinite *** author obtains some sufficient conditions which ganrantee the existence and uniqueness and stability of almost periodic solutions with module *** results extend all the results of the paper and solve the two open problems proposed in under much weaker conditions than that proposed in.

关键词： Existence Uniqueness Stability almost periodic solution Functional differential equation Infinite delay

Existence and global asymptotic stability of positive almost periodic solutions of a two-species competitive system

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International Journal of Biomathematics 2014年第4期7卷 85-102页

作者： Qinglong Wang Zhijun Liu Zuxiong Li Robert A. Cheke Department of Mathematics Hubei University for Nationalities 445000 Enshi Hubei P. R. China Natural Resources Institute University of Greenwich at Medway Central Avenue Chatham Maritime Chatham Kent ME44TB UK

The asymptotic behavior of an almost periodic competitive system is investigated. By using differential inequality, the module containment theorem and the Lyapunov function, a good understanding of the existence and global asymptotic stability of posi- tive almost periodic solutions is obtained. Finally, an example and numerical simulations are performed for justifying the theoretical results.

关键词： Competitive system almost periodic solution existence global asymptoticstability.

almost periodic solutionS TO SOME NONLINEAR DELAY DIFFERENTIAL EQUATION

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Annals of Differential Equations 2009年第4期25卷 385-390页

作者： Chunhua Feng (College of Mathematical Science, Guangxi Normal University, Guilin 541004, Guangxi)

The existence of an almost periodic solutions to a nonlinear delay diffierential equation is considered in this paper. A set of sufficient conditions for the existence and uniqueness of almost periodic solutions to so... 详细信息

关键词： delay diffierential equation almost periodic solution existence and uniqueness

almost　periodic　solutionS　OF　SINGLE　POPULATION　MODELS　WITH　almost　periodic　ENVIRONMENT

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Annals of Differential Equations 1995年第2期11卷 183-190页

作者：何崇佑南京大学

In this paper we investigate the existence and stability of almost periodic solutions of some single population models with almost periodic environment. We obtain some results about the existence and stability of the ... 详细信息

关键词： single population model almost periodic solution asymptotically almost periodic soluton.

almost periodic solutionS OF LASOTA-WAZEWSKA-TYPE DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT DELAYS AND almost periodic TIME DEPENDENCE

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Annals of Differential Equations 2003年第2期19卷 154-159页

作者：刘文祥李永昆秦茂昌 Dept.of Math. Yunnan UniversityKunming 650091

By using the concept of almost periodic 'sequence', that is, a real valued function on Z satisfying the Bohr almost periodic condition, sufficient conditions are obtained for the existence of almost periodic solutions... 详细信息

关键词： almost periodic solution piecewise constant delay cone fixed point

Dynamics of An almost periodic solutions for A Non-Autonomous Discrete Competitive System with Feedback Controls

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Journal of Mathematical Research with Applications 2018年第3期38卷 259-275页

作者： Zhouhong LI Li WU Department of Mathematics Yuxi Normal University College of Resource and Environment Yuxi Normal University

This paper investigates the persistence and existence of almost periodic solutions for a discrete competitive system with feedback controls based on the comparison theorem of the difference equation and constructing appropriate Lyapunov function, and several sufficient conditions for the existence of positive almost periodic solutions for the model are ***, a numerical example is given to illustrate effectiveness of our main results.

关键词： persistence almost periodic solution discrete competitive system feedback controls

Persistence and almost periodic solutions in a Model of Plankton Allelopathy with Impulsive Effects

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Journal of Mathematical Research with Applications 2016年第2期36卷 201-212页

作者： Lijun XU Yaqin LI Yonghong YANG Tianwei ZHANG School of Mathematics and Computer Science Panzhihua University Department of Mathematics Kunming University School of Essential Education Yunnan Minzu University City College Kunming University of Science and Technology

This paper is concerned with an almost periodic model of plankton allelopathy with impulsive effects. By using the comparison theorem and the Lyapunov method of the impulsive differential equations, sufficient conditions which guarantee the permanence and existence of a unique uniformly asymptotically stable positive almost periodic solution of the model are obtained. The main results in this paper improve the work in recent years. And the method used in this paper provides a new method to study the permanence, uniform asymptotical stability and almost periodic solution of the models with impulsive perturbations in biological populations. An example and numerical simulations are provided to illustrate the main results of this paper. Finally, a conclusion is also given to discuss how the impulsive effects influence the permanence, almost periodic solutions and uniform asymptotical stability of the model.

关键词： almost periodic solution permanence uniformly asymptotically stable impulse plankton allelopathy

The Existence of almost periodic solutions of Second Order Neutral Differential Equations with Piecewise Constant Argument

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Northeastern Mathematical Journal 1999年第3期15卷 369-378页

作者：李志祥贺明科

In this paper, we consider the following neutral functional differential equatio with piecewise constant argument:By constructing almost periodic sequence solution for difference equation and using the fixed point the... 详细信息

关键词： almost periodic solution almost periodic Sequence solution,Neutral Differential Equation with Delay Piecewise Constant Argument

Uniformly Asymptotic Stability and Existence of almost periodic solutions for Functional Differential Equations

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Communications in Mathematical Research 1999年第1期 32-38页

作者： Di shen jia bu (The Chinese Peoples Armed Police Force Academy, 065000) Wang Ke (Department of Mathematics, Northeast Normal University, 130024)

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关键词： Functional Differential Equation Uniformly Asymptotic Stability Boundedness periodic solution almost periodic solution