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

ZHOU  Shao-Long

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

更新时间：2026-05-27

- The Existence Problems with Anti-periodic Solutions for Two-dimension Nonlinear Equations
- Vol. 27, Issue 1, Pages: 18-19(2010)
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- Online First：25 March 2010，
  
  Published：2010
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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]. 2010, 27(1): 18-19.
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. DOI：

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

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．

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．

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references

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

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.

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.

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

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.

Chen Y Q．Antiperiodic solutions for semilinear evolution equations[J]．J Math Anal Appl，2006，315：337—348．

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