Almost periodic solutions in an integrodifferential equation
Almost periodic solutions in an integrodifferential equation
复制标题
积分微分方程的几乎周期解
DOI：
10.1017/s030821050002432x
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发表时间：
1990
期刊：
影响因子：
--
通讯作者：
T. Yoshizawa
中科院分区：
文献类型：
--
作者：
Y. Hamaya;T. Yoshizawa
考虑一类积分微分方程组，其中f（t，x）和F（t，s，x，y）对参数一致地在t内是概周期的，并且我们假设该系统有有界解u（t）.为了讨论概周期解的存在性，我们考虑了u（t）关于某个度量ρ的全稳定性与关于ρ的分离条件之间的关系.此外，我们还讨论了一个n种群系统动力学模型存在正概周期解的一个充分条件。
Synopsis We consider a system of integrodifferential equations where f(t, x) and F(t, s, x, y) are almost periodic in t uniformly for parameters, and we assume that the system has a bounded solution u(t). To discuss the existence of an almost periodic solution, we consider the relationship between the total stability of u(t) with respect to a certain metric ρ and the separation condition with respect to ρ. Moreover, we discuss a sufficient condition for the existence of a positive almost periodic solution of a model of the dynamics of an n-species system.