二维一阶非线性方程的反周期解

广东工业大学学报 ›› 2010, Vol. 27 ›› Issue (1): 18-19.

二维一阶非线性方程的反周期解

广东工业大学应用数学学院，广东广州510006

出版日期:2010-03-25 发布日期:2010-03-25
作者简介:周邵隆(1982一)，男，硕士研究生，主要研究方向为非线性泛函分析

The Existence Problems with Anti-periodic Solutions for Two-dimension Nonlinear Equations

Faculty of Applied Mathematics，Guangdong University of Technology，Guangzhou 5 10006，China

Online:2010-03-25 Published:2010-03-25

摘要/Abstract

摘要： 在Hilbert空间中考虑二维非线性方程，探讨在何种条件下其具有反周期解．证明在一定条件下，方程具有反周期解．

关键词: Leray—Schauder拓扑度；希尔伯特空间；反周期解

Abstract: It discusses the existence problem with anti--periodic solutions for two·-dimension nonlinear equation in Hilbert space．Under certain conditions，the equation has been proved to have anti-poriodic solutions．

Key words: Leray-Schauder degree；Hilbert space；anti—periodic solutions

周邵隆. 二维一阶非线性方程的反周期解[J]. 广东工业大学学报, 2010, 27(1): 18-19.

ZHOU Shao-Long. The Existence Problems with Anti-periodic Solutions for Two-dimension Nonlinear Equations[J]. Journal of Guangdong University of Technology, 2010, 27(1): 18-19.

参考文献

[1]Okochi H．On the existence of periodic solutions to nonlinear ahstract parabolic equations[J]．J Math Soc，1988(40)：541—553．

[2]Okochi H．On the existence of anti—periodic solutions to a nonlinear evolution equation associated with differential operators[J]．J Funct Anal，1990(91)：246—258．

[3]Chen Y Q，Wang X D，xu H X．Anti—periodic solutions for semilinear evolution equations[J]．J Math Anal Appl，2002．273：627—636．

[4]Chen Y Q．Note on Massera§theorem on anti—periodic solution[J]．Advances in Math Sci and Appl，1999(9)：125—128．

[5]Chen Y Q，Cho Y J，ORegan D．Antiperiodic solutions for evolution equations with mapping in class(S+)[J]．Math Nachr，2005，278：335—362．

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