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1.
This paper is concerned with the pseudo-almost periodic solutions to the nonautonomous difference equations with delay. Under some suitable assumptions, some results for the existence and uniqueness of pseudo-almost solutions are obtained. 相似文献
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1IntroductionAsisknown,therehavebeenquiteafewresu1tsontheexistenceofalrilostperiodicsolutionsforordinaryanddelaydifferentialstystems.However,tothebestofourknowledge,therehavenotappearedanycorrespondingresu1tsfOrevenordinarydifferencesystemssofar.Todealwithsuchproblems,wewilldefinethenotionoftheso-calleduni-formlyalmostperiodicsequencesbesidesthealmostsequencesandasymptoti-callyalmostsequences.Thenweprovidethecriteriaandthebasicpropertiesofuniformlyalmostperiodicsequenceswhichareneededinestabl… 相似文献
3.
《Annals of Differential Equations》2012,(3):283-289
By applying the properties of almost periodic function and exponential dichotomy of linear system as well as Banach fixed point theorem,we establish the conditions for the existence and uniqueness of square-mean almost periodic solution to some stochastic functional differential equations. 相似文献
4.
Considernonlinearalmostperiodicdiferentialequationx=A(t)x(t)+f(t,x(t))(1)anditshomogeneouslineardiferentialequationx(t)=A(t)x... 相似文献
5.
冯春华 《Annals of Differential Equations》2004,20(1):30-36
By means of exponential dichotomy, this paper investigates the existence of almost periodic solutions of some delay differential equations. 相似文献
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7.
ALMOSTPERIODICSOLUTIONSOFSINGLEPOPULATIONMODELSWITHALMOSTPERIODICENVIRONMENTHeChongyou(NanjingUniversty)(何崇佑)南京大学,邮编:210008Ab... 相似文献
8.
1 IntroductionEquationor its nonhomogeneous formwhere p, q) r and w are constants, originated with the study of aerodinamica.And then as its generalization, forced Rayleigh equationespecially its periodic solution has been studied by many authors. For example,R.Reissig [1], proved equation (1.1) has at least one w-periodic solution underthe following conditionsi) F(v), g(x) and e(t) are continuous functions;n) Suppose that m 5 0 5 M, and that there exists a positive number V,such that when … 相似文献
9.
Deng Chunhong Feng Chunhua 《Annals of Differential Equations》2006,22(2):149-153
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]. 相似文献
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PSEUDO ALMOST PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS WITH
PIECEWISE CONSTANT ARGUMENT 总被引:7,自引:0,他引:7
51.IntroductionDifferentialequationswithpiecewiseconstantarguments(DEPCA)candescribehybriddynandcalsystemsandthereforecombinepropertiesofbothdtherentialequationsanddifferenceeqllations.Theyhaveapplicationsincertainbiomedicalmodels[1].In[2,3]andthereferencesthereintherehavebeenalotofresultsconcerningDEPCA.Nevertheless,allofthemdealtwiththestabilityperiodicity,andoscillationetc-ofsolutionsofDEPCA.Re-cently,[4]disscusedtheetistenceofalInostperiodicsolutionsofDEPCA.Inthispaper,wedefineps… 相似文献
11.
Yang Shujie Shi Bao Zhang Decun 《Annals of Differential Equations》2006,22(2):204-208
Based on the fixed point theory for a Banach space, asymptotically constant solutions are founded for a second order delay system of difference equation. 相似文献
12.
In this paper, we consider a semilinear difference equation in a Banach space. Under some suitable conditions on f, we prove the existence and uniqueness of a weighted pseudo almost automorphic sequence solution to the equation. 相似文献
13.
袁荣 《Annals of Differential Equations》1996,(2)
STABILITYANDALMOSTPERIODICSOLUTIONSOFFUNCTIONALDIFFERENTIALEQUATIONSOFNEUTRALTYPEYuanRong(袁荣)(BeijingNormalUniversity,北京师范大学,... 相似文献
14.
陈晓星 《Annals of Differential Equations》2004,20(4):342-348
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]. 相似文献
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ONALMOSTPERIODICSOLUTIONSFORACLASSOFFUNCTIONALDIFFERENTIALEQUATIONS¥WangZhen(王震)&LuoYi(骆毅)(AnhuiUniversity)Abstract:Thispaper... 相似文献
16.
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. 相似文献
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ALMOSTPERIODICSOLUTIONSOFLINEARDIFFERENTIALEQUATIONSWITHPIECEWISECONSTANTARGUMENTYUANRONGHONGJIALINManuscriptreceivedJu... 相似文献
18.
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… 相似文献
19.
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. 相似文献
20.
Ni Hua 《Annals of Differential Equations》2007,23(3):312-318
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. 相似文献