一类具偏变元高阶p-Laplace微分方程的周期解

J4 ›› 2011, Vol. 49 ›› Issue (01): 71-75.

一类具偏变元高阶p-Laplace微分方程的周期解

张志戎¹, 鲁世平²

1. 铜陵学院数学与计算机科学系, 安徽铜陵 244000|2. 安徽师范大学数学计算机科学学院, 安徽芜湖 241000

收稿日期:2010-03-11 出版日期:2011-01-26 发布日期:2011-02-19
通讯作者: 鲁世平 E-mail:lushiping26 @sohu.com

Periodic Solutions for a HighOrder p-Laplacian Differential Equation with a Deviating Argument

ZHANG Zhirong¹, LU Shiping²

1. Department of Mathematics and Computer Science, Tongling University, Tongling 244000, Anhui Province, China;2. Department of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, Anhui Province, China

Received:2010-03-11 Online:2011-01-26 Published:2011-02-19
Contact: LU Shiping E-mail:lushiping26 @sohu.com

摘要/Abstract

摘要：

研究一类2n阶p-Laplace微分方程，运用Mawhin重合度拓展定理, 得到了其周期解的存在性.

关键词: 周期解； Mawhin拓展定理；具偏变元； p-Laplace方程

Abstract:

By means of Mawhin’s continuation theorem, we studied a kind of 2norder p-Laplacian differential equation 。Some new results for the existence of periodic solutions were obtained.

Key words: periodic solution, Mawhin’s continuation theorem, deviating argument, p-Laplacian equation

中图分类号:

O175.12

张志戎, 鲁世平. 一类具偏变元高阶p-Laplace微分方程的周期解[J]. J4, 2011, 49(01): 71-75.

ZHANG Zhi-Reng, LU Shi-Beng. Periodic Solutions for a HighOrder p-Laplacian Differential Equation with a Deviating Argument[J]. J4, 2011, 49(01): 71-75.

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