SOME TOPOLOGICAL PROPERTIES ABOUT ALMOST PERIODIC DIFFERENTIAL EQUATIONS AND ALMOST PERIODIC SOLUTIONS

ＳＯＭＥ　ＴＯＰＯＬＯＧＩＣＡＬ　ＰＲＯＰＥＲＴＩＥＳ　ＡＢＯＵＴ　ＡＬＭＯＳＴ　ＰＥＲＩＯＤＩＣ　ＤＩＦＦＥＲＥＮＴＩＡＬ　ＥＱＵＡＴＩＯＮＳ　ＡＮＤ　ＡＬＭＯＳＴ　ＰＥＲＩＯＤＩＣ　ＳＯＬＵＴＩＯＮＳＺｈａｎｇＪｉａｎｆｅｎｇ（张剑峰）（Ｆｕｚｈ...     

PERIODIC SOLUTIONS AND ALMOST PERIODIC SOLUTIONS OF NONLINEAR INTEGRAL EQUATIONS

ＰＥＲＩＯＤＩＣＳＯＬＵＴＩＯＮＳＡＮＤＡＬＭＯＳＴＰＥＲＩＯＤＩＣＳＯＬＵＴＩＯＮＳ　ＯＦ　ＮＯＮＬＩＮＥＡＲ　ＩＮＴＥＧＲＡＬＥＱＵＡＴＩＯＮＳＭｕｈａｍｍａｄＮ．Ｉｓｌａｍ＆ＹａｗｖｉＡ．Ｆｉａｇｂｅｄｚｉ（ＫｉｎｇＦａｈｄＵｎｉｖｅｒｓｉｔｙ...     

THE ALMOST PERIODIC SOLUTION AND BOUNDED SOLUTION OF PERTURBED SYSTEMS

ＴＨＥＡＬＭＯＳＴＰＥＲＩＯＤＩＣＳＯＬＵＴＩＯＮＡＮＤＢＯＵＮＤＥＤＳＯＬＵＴＩＯＮＯＦＰＥＲＴＵＲＢＥＤＳＹＳＴＥＭＳＬｉｎＭｕｒｅｎ（林木仁）（ＦｕｚｈｏｕＵｎｉｖｅｒｓｉｔｙ福州大学，邮编：３５０００２）Ａｂｓｔｒａｃｔ：Ｉｎｔｈｉｓｐａｐｅ...     

STABILITY AND ALMOST PERIODIC SOLUTIONS OF FUNCTIONAL DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE

ＳＴＡＢＩＬＩＴＹＡＮＤＡＬＭＯＳＴＰＥＲＩＯＤＩＣＳＯＬＵＴＩＯＮＳＯＦＦＵＮＣＴＩＯＮＡＬＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＯＦＮＥＵＴＲＡＬＴＹＰＥＹｕａｎＲｏｎｇ（袁荣）（ＢｅｉｊｉｎｇＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，北京师范大学，...     

STABLEP OSITIVE PERIODIC SOLUTION OF TIME DEPENDENT LOTKA－VOLTERRA PERIODIC MUTUALISTIC SYSTEM

ＳＴＡＢＬＥＰＯＳＩＴＩＶＥＰＥＲＩＯＤＩＣＳＯＬＵＴＩＯＮＯＦＴＩＭＥＤＥＰＥＮＤＥＮＴＬＯＴＫＡ－ＶＯＬＴＥＲＲＡＰＥＲＩＯＤＩＣＭＵＴＵＡＬＩＳＴＩＣＳＹＳＴＥＭＣｕｉＪｉｎｇ＇ａｎ（崔景安）（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＸｉｎｊｉａｎｇＵｎｉｖ...     

ALMOST PERIODIC SOLUTIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH NONAUTONOMOUS OPERATOR

ＡＬＭＯＳＴＰＥＲＩＯＤＩＣＳＯＬＵＴＩＯＮＳＯＦＮＥＵＴＲＡＬＦＵＮＣＴＩＯＮＡＬＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＷＩＴＨＮＯＮＡＵＴＯＮＯＭＯＵＳＯＰＥＲＡＴＯＲ￥ＹＵＡＮＲＯＮＧ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，Ｂｅｉ...     

ON THE TOPOLOGICAL EQUIVALENCE OF ALMOST PERIODIC SYSTEMS OF LINEAR DIFFERENTIAL EQUATION

ＯＮＴＨＥＴＯＰＯＬＯＧＩＣＡＬＥＱＵＩＶＡＬＥＮＣＥＯＦＡＬＭＯＳＴＰＥＲＩＯＤＩＣＳＹＳＴＥＭＳＯＦＬＩＮＥＡＲＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＷａｎｇＨｏｎｇｘｉ（汪宏喜）（ＡｎｈｕｉＡｇｒｉｃｕｌｔｕｒａｌＵｎｉｖｅｒｓｉｔｙ，安徽农...     

ON ALMOST PERIODIC SOLUTIONS FOR A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS

ＯＮＡＬＭＯＳＴＰＥＲＩＯＤＩＣＳＯＬＵＴＩＯＮＳＦＯＲＡＣＬＡＳＳＯＦＦＵＮＣＴＩＯＮＡＬＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳ￥ＷａｎｇＺｈｅｎ（王震）＆ＬｕｏＹｉ（骆毅）（ＡｎｈｕｉＵｎｉｖｅｒｓｉｔｙ）Ａｂｓｔｒａｃｔ：Ｔｈｉｓｐａｐｅｒ...     

ALMOST PERIODIC SOLUTION OF TWO－SPECIES PATCHTYPE NONAUTONOMOUS DIFFUSIVE LOTKA－VOLTERRA COMPETITIVE MODELS

ＡＬＭＯＳＴＰＥＲＩＯＤＩＣＳＯＬＵＴＩＯＮＯＦＴＷＯ－ＳＰＥＣＩＥＳＰＡＴＣＨＴＹＰＥＮＯＮＡＵＴＯＮＯＭＯＵＳＤＩＦＦＵＳＩＶＥＬＯＴＫＡ－ＶＯＬＴＥＲＲＡＣＯＭＰＥＴＩＴＩＶＥ　ＭＯＤＥＬＳＬｕｏＧｕｉｌｉｅ（罗桂烈），ＬｉａｏＭｉｎｌｉ（廖民...     

EXISTENCE AND GLOBAL ATTRACTIVITY OF PERIODIC SOLUTION OF A MODEL IN POPULATION DYNAMICS

ＥＸＩＳＴＥＮＣＥＡＮＤＧＬＯＢＡＬＡＴＴＲＡＣＴＩＶＩＴＹＯＦＰＥＲＩＯＤＩＣＳＯＬＵＴＩＯＮＯＦＡＭＯＤＥＬＩＮＰＯＰＵＬＡＴＩＯＮＤＹＮＡＭＩＣＳ￥ＷＥＮＧＰＥＩＸＵＡＮ（佩萱）ＬＩＡＮＧＭＩＡＯＬＩＡＮ（梁妙莲）（ＤｅｐａｒｔｍｅｎｔｏｆＳｏ...     

ON ALMOST PERIODIC SOLUTIONS OF AHIGHER ORDER ALMOST PERIODIC SYSTEM

1IntroductionConsiderthel'Ollowingdifferentialequationdx~~A(.t)x g(t,x),(l)dt.wherexeR",t6R,A(t)=(a,,(t)),,..istillnxncontinlloust'llllctiollmatrixinR,g(t,x)isanat-dimensionalcolltinuousfunctionvectorinRxR".Thepaper[l,21dealedwil;htheproblemontheexistence…     

THE EXISTENCE OF ALMOST PERIODIC SOLUTION TO A CLASS OF ALMOST PERIODIC DIFFERENTIAL SYSTEM

By means of the fixed point theorem and exponential dichotomy, in this paper we investigate the existence of almost periodic solutions to a class of n-dimensional almost periodic systems, which is more general than the systems in [1-2]. We generalize and improve some results in [3].     

EXISTENCE OF ALMOST PERIODIC SOLUTIONS FOR DIFFERENCE SYSTEMS

1IntroductionAsisknown,therehavebeenquiteafewresu1tsontheexistenceofalrilostperiodicsolutionsforordinaryanddelaydifferentialstystems.However,tothebestofourknowledge,therehavenotappearedanycorrespondingresu1tsfOrevenordinarydifferencesystemssofar.Todealwithsuchproblems,wewilldefinethenotionoftheso-calleduni-formlyalmostperiodicsequencesbesidesthealmostsequencesandasymptoti-callyalmostsequences.Thenweprovidethecriteriaandthebasicpropertiesofuniformlyalmostperiodicsequenceswhichareneededinestabl…     

ON THE ALMOST PERIODIC SOLUTIONS OF HIGHER DIMENSIONAL NONAUTONOMOUS SYSTEMS

By means of the properties of almost periodic system and Lyapunov function, we give some criteria which guarantee the existence and uniqueness and stability of almost periodic solutions of higher dimensional nonautonomous system. The result is more convenient and effective than the related result in[1].     

FORCED ALMOST PERIODIC OSCILLATION OF SECOND ORDER NONLINEAR EQUATION

1 IntroductionConsider equation of the Duffing fOrmX" cx' g(x) = p(t) (1)where c is a constant, p and g are continuous functions defined on (--oo, oc).In the early years of the l990's, some authors investigated the existence andstability of periodic solution of system (1), when p(t) is a periodic function(see [1],[2]).In this paper, we consider the situation in where p(t) is an almost periodicfunction. Under some conditions, we prove the existence and uniqueness ofalmost periodic soluti…     

PERIODIC AND ALMOST PERIODIC SOLUTIONS OF A CERTAIN INFINITE DELAY INTEGRAL EQUATION

In this paper,by using successive approximation method and fixed-point theorem,we discuss a class of infinite delay integral equation and obtain some sufficient conditions which guarantee the existence and uniqueness of the peri- odic and almost periodic solutions of the system.     

PERIODIC SOLUTIONS AND ALMOST PERIODIC SOLUTIONS OF A NONAUTONOMOUS PREDATOR-PREY SYSTEM WITH STAGE-STRUCTURE AND DELAY

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.     

ALMOST PERIODIC SOLUTIONS TO SOME NONLINEAR DELAY DIFFERENTIAL EQUATION

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 some delay diffierential equations is obtained.     

一类具分布时滞的Hopfield网络模型的概周期解存在性与稳定性

利用Banach空间压缩不动点定理和微分不等式的分析技巧,研究一类具分布时滞的Hopfield神经网络模型的概周期解的存在性和稳定性。得到了系统存在概周期和全局指数稳定的新的充分条件。所得结果改进和推广了相关文献的结论。     

ALMOST PERIODIC SOLUTIONS OF LASOTA-WAZEWSKA-TYPE DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT DELAYS AND ALMOST PERIODIC TIME DEPENDENCE

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 of Lasota-Wazewska-type differential equations with almost periodic time dependence.