共查询到20条相似文献,搜索用时 93 毫秒
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研究抽象空间微分方程周期解的存在性一直是比较困难的问题。Deimling,K利用耗散性及紧性条件研究了这一问题解的存在性^[1-2]。本从另一个角度研究了赋范线性空间l^p中的周期边值问题的单调逼近,提出了计算解的具体方法。 相似文献
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Banach空间二阶周期边值问题的一种拟上下解方法 总被引:5,自引:0,他引:5
利用比较结果,通过构造L-拟上下解的单调迭代过程,在L-拟上下解反序的情形下,研究了Banach空间二阶周期边值问题解的存在性,并获得该问题解的存在性与唯一性结果. 相似文献
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研究抽象空间中无穷时滞微分方程概自守解的存在性,证明了在正实轴上存在有界解蕴含存在概自守解,并给出了结论在L otka-V o lterra型方程中的应用.我们的结果推广了经典的关于非齐次线性概周期微分方程概周期解存在性的结论. 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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二阶非线性差分方程多重周期解的存在性 总被引:1,自引:0,他引:1
本文研究了一类带参数非自治的二阶非线性差分方程多重周期解的存在性问题.利用Morse理论,建立了此类方程多重周期解的存在性准则. 相似文献
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一类具偏差变元Rayleigh方程周期解的存在性 总被引:3,自引:0,他引:3
作者研究一类具偏差变元Ralyleigh方程周期解的存在性问题,利用重合度拓展定理得到了周期解存在性结论.有意义的是本文周期解先验界估计的方法与已有的工作均不相同. 相似文献
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反周期解问题是非线性微分系统动力学的重要特征.近年来,非线性整数阶微分系统的反周期解问题得到了广泛的研究,非线性分数阶微分系统的反周期解问题也得到了初步的讨论.不同于已有的工作,该文研究时不变分数阶系统反周期解的存在性问题.证明了时不变分数阶系统在有限时间区间内不存在反周期解,而当分数阶导数的下限趋近于无穷大时,时不变分数阶系统却存在反周期解. 相似文献
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Vladimir Ivanovich Mironenko Vladimir Vladimirovich Mironenko 《Journal of Applied Analysis & Computation》2016,6(3):876-883
In the paper we are giving the new method for searching periodic solutions of periodic differential systems. For this we construct a differential system with the same Reflecting Function as the Reflecting Function of the given system and with a known periodic solution. Then the initial data of the periodic solutions of this two systems coincide. In such a way the problem of existance periodic solutions goes to the Cauchy problem. 相似文献
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In this paper, we propose a new method to find the periodic solutions of differential equations. The key technique is to convert
the problem of finding periodic solutions of differential equations into an optimization problem. Then by solving the corresponding
optimization problem, we can find the periodic solutions of differential equations. Finally, some numerical results are presented
to illustrate the utility of the technique. 相似文献
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Motivated by some problems in Celestial Mechanics that combines quasihomogeneous potential in the anisotropic space, we investigate the existence of several families of first kind symmetric periodic solutions for a family of planar perturbed Kepler problem. In addition, we give sufficient conditions for the existence of first kind periodic solutions and also we characterize its type of stability. As an application of this general situation, we discuss the existence of symmetric periodic solutions for the anisotropic Kepler problem plus a generalized anisotropic perturbation, (shortly, p-AKPQ problem) and for the Kepler problem plus a generalized anisotropic perturbation (shortly, p-KPQ problem), as continuation of circular orbits of the two-dimensional Kepler problem. To get this objective, we consider different types of perturbations and then we apply our main result. 相似文献
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周期系数 Riccati 方程的周期解存在准则 总被引:1,自引:0,他引:1
陈省身教授在报告空间曲线的封闭性时,提出了周期系数 Riccati 方程在什么条件下存在实周期解的问题.这个问题的解决,具有重要的理论价值和实践意义.因此很多人不断地从事这方面的研究,但给出的判据大都是充分性的.本文给出几类判定Riccati 方程存在周期解的充要条件. 相似文献
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Jiebao Sun Jingxue YinYifu Wang 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(6):2415-2424
This paper is concerned with a doubly degenerate parabolic equation with logistic periodic sources. We are interested in the discussion of the asymptotic behavior of solutions of the initial-boundary value problem. In this paper, we first establish the existence of non-trivial nonnegative periodic solutions by a monotonicity method. Then by using the Moser iterative method, we obtain an a priori upper bound of the nonnegative periodic solutions, by means of which we show the existence of the maximum periodic solution and asymptotic bounds of the nonnegative solutions of the initial-boundary value problem. We also prove that the support of the non-trivial nonnegative periodic solution is independent of time. 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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Peng Yang JinRong Wang Michal Fe
kan 《Mathematical Methods in the Applied Sciences》2019,42(10):3700-3720
In this paper, we study a new class of periodic nonautonomous differential equations with periodic noninstantaneous impulsive effects. A concept of noninstantaneous impulsive Cauchy matrix is introduced, and some basic properties are considered. We give the representation of solutions to the homogeneous problem and nonhomogeneous problem by using noninstantaneous impulsive Cauchy matrix, and the variation of constants method, adjoint systems, and periodicity of solutions is verified under standard periodicity conditions. Further, we show the existence and uniqueness of solutions of semilinear problem and establish existence result for periodic solutions via Brouwer fixed point theorem and uniqueness and global asymptotic stability via Banach fixed point theorem. 相似文献
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本文利用Liapunov函数的方法,讨论了一类具有缓变系数的非线性非自治周期系统的周期解的存在唯一性,得到了保证系统存在唯一稳定周期解的充分条件,并对系统的缓变范围作了精确的估计. 相似文献
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