共查询到20条相似文献,搜索用时 484 毫秒
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利用渐近概周期函数的性质得到带梯度算子二阶方程的渐近概周期解在C(R^-)中的存在性.同时利用迭代法和线性常微分方程的概周期解的存在性和唯一性,得到R上此方程渐近概周期解的存在和唯一性. 相似文献
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本文利用指数型二分性理论讨论了一般高维概周期系统的概周期解的存在性和唯一性,所得结果推广了Ezeilo的一个概周期解的存在性定理。 相似文献
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应用构造Ляпунов函数的方法,讨论了非线性微分方程系概周期解的存在唯一性.同时给出了Liénard方程存在唯一概周期解的一组充分条件. 相似文献
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本文研究了一个概周期锁相环路方程的概周期解的存在唯一性及渐近稳定性,得到了保证系统存在唯一渐近稳定的概周期解的充分条件 相似文献
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一类非线性微分方程的概周期解 总被引:1,自引:0,他引:1
运用Leray-Schauder不动点定理和Liapunov函数方法,研究了一类非线性微分方程的概周期解,得到了该微分方程概周期解存在的充分条件. 相似文献
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本文建立了系统解一致稳定、解一致渐近稳定和某种Liapunov函数存在的充要条件,并且得到:满足Lipschitz条件而且解一致渐近稳定的概周期系统有唯一的概周期解,周期系统有唯一的周期解。 相似文献
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有食饵补充的二维捕食食饵模型的周期解与概周期解 总被引:9,自引:0,他引:9
对于有食饵补充的非定常二维捕食食饵模型,利用微分不等式,讨论了周期解的存在性及其全局吸收性,概周期解的存在性及其在壳扰动不的稳定性。 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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ALMOSTPERIODICSOLUTIONSOFSINGLEPOPULATIONMODELSWITHALMOSTPERIODICENVIRONMENTHeChongyou(NanjingUniversty)(何崇佑)南京大学,邮编:210008Ab... 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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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. 相似文献
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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
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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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1IntroductionAsisknown,therehavebeenquiteafewresu1tsontheexistenceofalrilostperiodicsolutionsforordinaryanddelaydifferentialstystems.However,tothebestofourknowledge,therehavenotappearedanycorrespondingresu1tsfOrevenordinarydifferencesystemssofar.Todealwithsuchproblems,wewilldefinethenotionoftheso-calleduni-formlyalmostperiodicsequencesbesidesthealmostsequencesandasymptoti-callyalmostsequences.Thenweprovidethecriteriaandthebasicpropertiesofuniformlyalmostperiodicsequenceswhichareneededinestabl… 相似文献
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Liuwei Zhang Yuantong Xu 《Annals of Differential Equations》2011,(2):253-257
This paper studies the existence of almost periodic type solutions to the nonlinear infinite delay integral equation. By means of the fixed theorem on a suitable space with Hilbert’s projective metric, we establish some sufficient conditions for the existence of positive weighted pseudo-almost periodic solutions to the equation. 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