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

HTML

PDF (PC)

2299

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!
Copyright © 2017 Journal of Guangdong University of Technology
Add：729 East Dongfeng RD., Guangzhou PRC. Postcode: 510090
Tel：020-37626653,020-37626139,020-37626396
Email：xbzrb@gdut.edu.cn
Supported:Beijing Magtech