共查询到18条相似文献,搜索用时 93 毫秒
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研究了一类具无穷时滞的中立型Volterra积分微分方程的概周期解问题.利用线性系统指数型二分性理论和泛函分析方法,得到了一些关于该方程的概周期解的存在性、唯一性与稳定性的新结果,推广了相关文献的主要结果. 相似文献
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本文讨论一类脉冲中立型泛函微分方程的概周期解问题.利用Banach压缩映射原理和算子半群理论得到其概周期解的存在唯一性定理. 相似文献
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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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THE EXISTENCE AND UNIQUENESS AND STABILITY OF ALMOST PERIODIC SOLUTIONS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS 总被引:1,自引:0,他引:1
Wang Quanyi 《数学年刊B辑(英文版)》1997,18(2):233-242
THEEXISTENCEANDUNIQUENESSANDSTABILITYOFALMOSTPERIODICSOLUTIONSFORFUNCTIONALDIFFERENTIALEQUATIONSWITHINFINITEDELAYSWANGQUANHNY... 相似文献
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研究了一类具第三类功能反应且食饵具有避难所的非自治捕食系统.利用Lyapunov函数方法得到了系统持续生存的条件,以及在一定条件下,系统存在全局渐进稳定的周期正解.对于更广泛的概周期现象,也得到了存在唯一全局渐进稳定的概周期正解的充分条件. 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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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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《Applied Mathematics Letters》2005,18(3):245-252
By using a Liapunov functional, the conditions of existence and uniqueness of almost periodic solutions for some integrodifferential equations are obtained. 相似文献
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应用Liapunov泛函研究时滞微分方程慨周期解的存在唯一性,去掉了要求预先知道系统存在一个有界解的限制条件. 相似文献
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Xi Liang Li 《数学学报(英文版)》2014,30(5):881-898
This paper concerns the square-mean almost periodic mild solutions to a class of abstract nonautonomous functional integro-differential stochastic evolution equations in a real separable Hilbert space. By using the so-called "Acquistapace–Terreni" conditions and the Banach fixed point theorem, we establish the existence, uniqueness and the asymptotical stability of square-mean almost periodic solutions to such nonautonomous stochastic differential equations. As an application, almost periodic solution to a concrete nonautonomous stochastic integro-differential equation is considered to illustrate the applicability of our abstract results. 相似文献