一类泛函微分方程的周期解的存在性、唯一性及全局吸引性

数学物理学报 ›› 2005, Vol. 25 ›› Issue (6): 913-925.

一类泛函微分方程的周期解的存在性、唯一性及全局吸引性

方聪娜, 王全义

华侨大学数学系泉州 362011

出版日期:2005-12-24 发布日期:2005-12-24
基金资助:
国务院侨务办公室科研基金和集美大学科研育苗基金资助

The Existence and Uniqueness and Global Attraction of Periodic Solutions for a Class of Functional Differential Equations

FANG Cong-Na, WANG Quan-Yi

Online:2005-12-24 Published:2005-12-24
Supported by:
国务院侨务办公室科研基金和集美大学科研育苗基金资助

摘要/Abstract

摘要：

该文研究了一类具有分布滞量的微分系统的周期解的存在性、唯一性及全局吸引性等问题.利用不动点方法和Lyapunov泛函方法,建立了保证该类系统周期解的存在性、唯一性、一致稳定性及全局吸引性的充分条件.

关键词: 周期解;存在性;唯一性;一致稳定性;全局吸引性

Abstract:

This paper studies the problems on the existence, uniqueness and global attraction of periodic solutions for a class of differential systems with distributed delay. By using fixed point method and Lyapunov functional, the sufficient conditions are estabished which guarantee the existence, uniqueness, uniform stability and global attraction of periodic solutions for the systems.

Key words: Periodic solutions, Existence, Uniqueness, Uniform s tability, Global attraction

方聪娜, 王全义. 一类泛函微分方程的周期解的存在性、唯一性及全局吸引性[J]. 数学物理学报, 2005, 25(6): 913-925.

FANG Cong-Na, WANG Quan-Yi. The Existence and Uniqueness and Global Attraction of Periodic Solutions for a Class of Functional Differential Equations[J]. Acta mathematica scientia,Series A, 2005, 25(6): 913-925.