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

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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

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[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．

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[11]Liu Zhen-hai．Antiperiodic solutions to nonlinear evolution equations[J]．Journal of Functional Analysis，2010(258)：2026-2033．
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