Journal of Guangdong University of Technology ›› 2010, Vol. 27 ›› Issue (4): 68-70.

• Comprehensive Studies • Previous Articles     Next Articles

The Existence of Solutions for Nonlinear Evolution Equations Associated with Maximal M onotone M appings and Their Application

  

  1. Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,China
  • Online:2010-12-25 Published:2010-12-25

Abstract: Solutions for nonlinear evolution equations,associated with maximal monotone mappings in Hilbert space,are worked out and further research about Okochi’S result is carried out.

Key words: nonlinear evolution equation;maximal monotone mapping;anti-periodic solution

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

[2]Okoehi H.On the existence of anti-periodic solutions to a nonlinear evolution equation associated with diferential operators[J].J Funct Anal,1990(91):246-258.
[3] Okochi H.On the existence of anti-periodic solutions to nonlinear parabolic equations in noneylindrieal domains[J].Nonlinear Anal,1990(14):771-783.

[4]Haraux A.Anti—periodic solutions of some nonlinear evolution equations[J].Manuscripta math,1989(63):479-505.

[5]Chen Y Q.Note on Massera’s theorem on anti-periodic SOlution[J].Advances in Math Sci and Appl,1999(9):125-128.

[6]Chen Y Q,Cho Y J,0’Regan D.Antiperiodic solutions for evolution equations with mapping in class(S+)[J].Math Nachr,2005(278):335-362.

[7]Chen Y Q.Antiperiodic solutions for semilinear evolution equations[J].J math Anal Appl,2006(315):337-348.

[8]郭大均.非线性泛函分析[M].山东:山东科学技术出版社,1984.

[9]Chen Y Q,Wang X D,Xu H X.Anti-periodic solutions for semilinear evolution equations[J].JmathAnalAppl,2002(273):627-636.

[10]Chen Y Q,Cho Y J,Jung J S.Antiperiodie solutions for semilinear evolution equations[J].Mathematical and Computer Modeling,2004(40):1123-1130.

[11]Liu Zhen-hai.Antiperiodic solutions to nonlinear evolution equations[J].Journal of Functional Analysis,2010(258):2026-2033.
No related articles found!
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!