非线性发展方程反周期解的边值问题

广东工业大学学报 ›› 2011, Vol. 28 ›› Issue (1): 82-85.

非线性发展方程反周期解的边值问题

广东工业大学应用数学学院，广东广州 510006

出版日期:2011-12-25 发布日期:2011-12-25
作者简介:李玉华（1983-），男，硕士研究生，主要研究方向为非线性泛函分析.

Anti-periodic Boundary Value Problems with Nonlinear Evolution Equations

Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,China

Online:2011-12-25 Published:2011-12-25

摘要/Abstract

摘要： 在Hilbert空间中，利用非线性泛函分析中的LeraySchauder度理论，对含有极大单调映象的非线性发展方程的反周期解的边值问题进行了研究，并将其结果做了推广.

关键词: 非线性发展方程；极大单调映象；反周期解；Lera-Schauder度

Abstract: Using Leray-Schauder’s topology degree theory in a nonlinear analysis,it studies Antiperiodic boundary value problems with nonlinear evolution equations associated with maximal monotone mappings in Hilbert space,and conducts further research into the results obtained.

Key words: nonlinear evolution equation; maximal monotone mapping; antiperiodic solution; Leray-Schauder degree

李玉华. 非线性发展方程反周期解的边值问题[J]. 广东工业大学学报, 2011, 28(1): 82-85.

LI Yu-Hua. Anti-periodic Boundary Value Problems with Nonlinear Evolution Equations[J]. Journal of Guangdong University of Technology, 2011, 28(1): 82-85.

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