共查询到20条相似文献,搜索用时 15 毫秒
1.
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
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一类概周期时滞捕食-食饵系统的概周期解 总被引:3,自引:0,他引:3
本文讨论一类概周期时滞捕食-食饵系统的一致持久性,通过构造一个Liapunov函数得到该系统有界解的唯一性,并且给出正概周期解的存在唯一性定理。 相似文献
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《Annals of Differential Equations》2012,(3):332-337
In this paper,we first investigate some basic properties of asymptotically mean almost periodic random sequences on Z + and then show some properties of asymptotically mean almost periodic solutions to random difference equations. 相似文献
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Niu Chengying Chen Xiaoxing 《Annals of Differential Equations》2008,(3):306-316
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 obtained. 相似文献
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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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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
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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
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ALMOSTPERIODICSOLUTIONSOFSINGLEPOPULATIONMODELSWITHALMOSTPERIODICENVIRONMENTHeChongyou(NanjingUniversty)(何崇佑)南京大学,邮编:210008Ab... 相似文献
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1IntroductionOpial[11discoveredsuchafact:ifthealmostperiodicequationX'=f(x,t)x?tERandallsystemsinitshullsatisfytheexistenceanduniquenesstheoremandfismonotonicinxtthenthesystemhasanalmostperiodicsolutionwhenithasaboundedsolution.ltisnaturallyexpectthatitco… 相似文献
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In this paper, by the critical point theory, a sufficient condition for the existence of multiple periodic solutions to a nonlinear second order difference system is obtained. An illustrative example is given. Our results improve and generalize some known ones. 相似文献
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Dai Binxiang Zhang Na 《Annals of Differential Equations》2007,23(2):136-140
With the help of a continuation theorem based on Gaines and Mawhin's coincidence degree,some sufficient conditions are established for the global existence of positive periodic solutions of a class of delayed nonlinear difference equations. 相似文献
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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
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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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ALMOSTPERIODICSOLUTIONSOFLINEARDIFFERENTIALEQUATIONSWITHPIECEWISECONSTANTARGUMENTYUANRONGHONGJIALINManuscriptreceivedJu... 相似文献
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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