具有无限时滞的中立型高维周期微分系统的周期解

胡永珍;斯力更

数学学报 ›› 2005, Vol. 48 ›› Issue (2) : 235-244.

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PDF(407 KB)
数学学报 ›› 2005, Vol. 48 ›› Issue (2) : 235-244. DOI: 10.12386/A2005sxxb0027
论文

具有无限时滞的中立型高维周期微分系统的周期解

    胡永珍;斯力更
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Periodic Solutions of Neutral Higher Dimensional Periodic Differential System with Infinite Delay

    Yong Zhen HU, Li Geng SI
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摘要

本文考虑中立型高维周期微分系统d/dt(x(t)+cx(t-r))=A(t,x(t-r(t)))x(t)+ ∫t-∞C(t,s)x(s)ds+f(t,xt)+b(t)的T-周期解的存在性问题,利用线性系统的指数型 二分性和Krasnoselskii不动点定理,建立了保证系统存在T-周期解的充分条件.

Abstract

The existence of periodic solutions of neutral periodic differential periodic system with infinite delay is considered. Using the exponential dichotomy and Krasnoselskii fixed point theorem, some sufficient conditions to guarantee the existence of T-periodic solution for the system are established.

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中立型 / 周期微分系统 / 无限时滞

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胡永珍;斯力更. 具有无限时滞的中立型高维周期微分系统的周期解. 数学学报, 2005, 48(2): 235-244 https://doi.org/10.12386/A2005sxxb0027
Yong Zhen HU, Li Geng SI. Periodic Solutions of Neutral Higher Dimensional Periodic Differential System with Infinite Delay. Acta Mathematica Sinica, Chinese Series, 2005, 48(2): 235-244 https://doi.org/10.12386/A2005sxxb0027
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