共查询到20条相似文献,搜索用时 15 毫秒
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We provide existence results for almost periodic solutions of nonlinear second order ordinary differential equations. The results extend existence results for periodic solutions of periodic equations, where the existence of periodic sub and supersolutions implied the existence of periodic solutions. 相似文献
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运用Krasnosel’skii不动点理论研究了一类含参泛函微分方程半正问题正周期解的存在性.获得了当参数充分小时正周期解的存在性结果以及半正问题正周期解存在的充分条件.丰富了一阶泛函微分方程解的存在性理论. 相似文献
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中立型泛函微分方程的周期解 总被引:1,自引:1,他引:0
对于中立型泛函微分方程,证明了解的毕竟有界性蕴含周期解的存在性,把常微分方程中著名的Yoshizawa周期解存在定理推广到中立型泛函微分方程,然后利用所得结果给出一类产生于电力系统的中立型时滞泛函微分方程周期解存在惟一与吸引的条件。 相似文献
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Guihua FeiSoon-Kyu Kim Tixiang Wang 《Journal of Mathematical Analysis and Applications》2002,267(2):665-678
In this paper, we study the existence of periodic solutions for classical Hamiltonian systems without the Palais-Smale condition. We prove that the information of the potential function contained in a finite domain is sufficient for the existence of periodic solutions. Moreover, we establish the existence of infinitely many periodic solutions without any symmetric condition on the potential function V. 相似文献
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时标上具有阶段结构的三种群捕食系统的周期解 总被引:1,自引:0,他引:1
研究了时标上具有阶段结构的三种群捕食系统.运用时标上连续拓扑度定理,得到了系统存在周期解的充分条件.其研究方法使系统的连续时间情形和离散时间情形的周期解问题得到了统一,被广泛地应用来研究微分方程和差分方程的周期解的存在问题. 相似文献
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Gabriele Bonanno Roberto Livrea 《Journal of Mathematical Analysis and Applications》2010,363(2):627-638
Under an appropriate oscillating behavior of the nonlinear term, the existence of infinitely many periodic solutions for a class of second order Hamiltonian systems is established. Moreover, the existence of two non-trivial periodic solutions for Hamiltonian systems with not coercive potential is obtained, and the existence of three periodic solutions for Hamiltonian systems with coercive potential is pointed out. The approach is based on critical point theorems. 相似文献
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研究了一类具有比率型功能反应的食物链时标动力学系统,利用重合度理论中的延拓定理讨论了此系统周期解的存在性问题,得到了保证周期解存在的充分条件,从而使这一类系统的连续与离散情形:微分方程和差分方程的周期解存在性问题得到了统一研究. 相似文献
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利用临界点理论研究带阻尼项的二阶Hamilton系统周期解的存在性.在具有部分周期位势和线性增长非线性项时,根据广义鞍点定理定理,得到了系统多重周期解存在的充分条件. 相似文献
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概周期解的存在性、唯一性与稳定性 总被引:15,自引:1,他引:14
本文给出了一些保证微分方程的周期解和概周期解的存在性、唯一性、稳定性与不稳定性的充分性条件及周期解的存在范围估计式.所得结果推广[1]的主要结果及[2-6]的有关结果. 相似文献
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In this paper, using Fourier series, we study the problem of the existence of periodic solutions of a type of periodic neutral differential difference system. Some necessary and sufficient conditions for the existence of periodic solutions of a type of neutral functional equation system are obtained, and at the same time, we present a method with formula shows how to find the periodic solutions. 相似文献
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高维时滞周期的Kolmogorov型系统的正周期解 总被引:27,自引:0,他引:27
本文应用Banach空间中的Horn不动点得到了高维时滞的周期Kolmogorov型生态系统的正周期解存在性定理,作为这个定理的应用,讨论了几类时滞的周期LotkaVolterra型系统的正周期解的存在性问题,建立了新的实用的判别准则。 相似文献
14.
张申贵 《应用泛函分析学报》2014,(2):177-182
利用临界点理论研究具有部分周期位势的非自治常p-Laplace系统周期解的存在性.在具有p-线性增长非线性项时,根据广义鞍点定理,得到了系统多重周期解存在的充分条件. 相似文献
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Sufficient conditions for the existence of at least one periodic solution of two classes of nonlinear higher order periodic difference equations are established, respectively. The results show us that sufficient conditions for the existence of T ? periodic solutions of difference equation are different from those ones for the existence of T ? periodic solutions of differential equation. Copyright © 2012 John Wiley & Sons, Ltd. 相似文献
18.
Zhenjie Liu 《分析论及其应用》2009,25(4):369-380
This paper investigates the existence of periodic solutions of a three-species food-chain diffusive system with Beddington-DeAngelis
functional responses and time delays in a two-patch environment on time scales. By using a continuation theorem based on coincidence
degree theory, we obtain sufficient criteria for the existence of periodic solutions for the system. Moreover, when the time
scale T is chosen as R or Z, the existence of the periodic solutions of the corresponding continuous and discrete models follows. Therefore, the method
is unified to provide the existence of the desired solutions for continuous differential equations and discrete difference
equations. 相似文献
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On the existence of periodic solutions for large-scale systems 总被引:1,自引:0,他引:1
In recent ten years or more, many scholars have engaged in the investigation concerning the stability of large-scale systems, but up to the present, the problem on the existence of periodic solutions for large-scale systems has yet been seldomly touched upon in the literature.In this paper, by means of the method of constructing Lyapunov function. We study the problem on the existence of periodic solutions for linear and nonlinear large-scale systems, and obtain several sufficient conditions which guarantee the existence of periodic solutions. 相似文献