一类非自治二阶系统的多重周期解

J4 ›› 2011, Vol. 46 ›› Issue (11): 64-69.

一类非自治二阶系统的多重周期解

张申贵

西北民族大学数学与计算机科学学院, 甘肃兰州 730030

收稿日期:2010-09-21 出版日期:2011-11-20 发布日期:2011-11-30
作者简介:张申贵(1980- )，男,讲师,研究方向为非线性泛函分析.Email:zhang.sg@tom.com
基金资助:
国家民委科研资助项目(05XB07)

Multiplicity of periodic solution of a class of non-automous second order system

ZHANG Shen-gui

College of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730030, Gansu, China

Received:2010-09-21 Online:2011-11-20 Published:2011-11-30

摘要/Abstract

摘要：

利用广义鞍点定理研究非自治二阶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,给出了相关多重周期解存在的充分条件, 所得结论推广了已知结果。

关键词: 二阶系统; 线性增长非线性项; 部分周期; 周期解;临界点

Abstract:

In this paper,we investigate the existence of periodic solution for non-autonmous second order systems with partially periodic potential or linear nonlinearity by the general saddle point theorem.Some sufficient conditions for the existence of multiple periodic solutions are obtained, and these results improve existing ones.

Key words: second order system; linear nonlinearity; partially periodic; periodic solution; critical point

张申贵. 一类非自治二阶系统的多重周期解[J]. J4, 2011, 46(11): 64-69.

ZHANG Shen-gui. Multiplicity of periodic solution of a class of non-automous second order system[J]. J4, 2011, 46(11): 64-69.

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