共查询到20条相似文献,搜索用时 15 毫秒
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Ni Hua Lin Faxing 《Annals of Differential Equations》2007,23(2):173-179
By using the ordinary dichotomy and theory of stability,we study the nonli- near differential equation and obtain some sufficient conditions which guarantee the existence and stability of almost periodic solution for the nonlinear diffe- rential equation. 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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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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A new fixed point theorem is presented and sufficient conditions are obtained for the existence, uniqueness and global attractivity of a positive almost periodic solution to a delayed differential equation with almost periodic factors. 相似文献
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Xie Huiqin 《Annals of Differential Equations》2005,21(1):65-72
In this paper, we study the problem of almost periodic solution for the cellular neural networks with variable coefficients and delays. By ingeniously importing real parameters di > 0(i = 1,2,…n) which can be adjusted, we establish some sufficient conditions which ensure the neural networks exist a unique almost periodic solution, and all other solutions exponentially converge to such an almost periodic solution. 相似文献
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This paper studies equation x" + cx' + g(x) = P(t,x). Under some suitable conditions the existence and uniqueness of almost periodic solution of this equation are given. 相似文献
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In this paper we prove the existence and uniqueness of the solution for a class of nonlinear fractional differential system, and investigate the dependence of the solution on the orderαi. 相似文献
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《Annals of Differential Equations》2012,(3):346-351
In this paper,using fixed point method,we discuss the problem of periodic solution to a class of higher dimensional functional differential equation.Our results extend and improve some results of the previous researches. 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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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。 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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Considernonlinearalmostperiodicdiferentialequationx=A(t)x(t)+f(t,x(t))(1)anditshomogeneouslineardiferentialequationx(t)=A(t)x... 相似文献
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This paper is to study the existence and attractivity of almost periodic solution for Hopfield-Type delay cellular neural networks(HDCNNs) with variable coefficientsby combining the theory of the exponential dichotomy and Lyapunov functionals method and combine with some analysis techniques. We obtain some sufficient conditions to ensure the networks to have a unique almost periodic solution, and all other solutions converge to this solution. 相似文献
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利用Schauder不动点理论,引入线性变换,用逆变换的思想,定性与定量地研究一类中立型泛函微分方程周期解的问题,获得了这一类泛函微分方程周期解存在性与唯一性的充分条件.我们的研究方法异于相关文献中常用的方法. 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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ONTHEEXISTENCEOFPERIODICSOLUTIONOFHIGHERORDERPERIODICSYSTEM(王全义)华侨大学,邮编:362011WangQuanyi(HuaqiaoUniversity)Abstract:Inthispap... 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