Hilbert空间中一阶非线性发展方程的反周期解问题

doi:10.3969/j.issn.1007-7162.2014.04.014

广东工业大学学报 ›› 2014, Vol. 31 ›› Issue (4): 74-78.doi: 10.3969/j.issn.1007-7162.2014.04.014

Hilbert空间中一阶非线性发展方程的反周期解问题

陈晓玲,吴柳婵

广东工业大学应用数学学院，广东广州 510520

收稿日期:2013-05-06 出版日期:2014-12-28 发布日期:2014-12-28
作者简介:陈晓玲（1989-），女，硕士研究生，主要研究方向为非线性泛函分析.

Anti-periodic Solutions for the First Order Nonlinear Evolution Equations in Hilbert Space

Chen Xiao-ling,Wu Liu-chan

School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520，China

Received:2013-05-06 Online:2014-12-28 Published:2014-12-28

摘要/Abstract

摘要： 给出了AlainHaraux在1989年研究非线性发展方程反周期解所得结论的新的证明方法，研究了一类一阶非线性发展方程的反周期解的存在性和唯一性问题.

关键词: 非线性；发展方程；反周期解

Abstract: It gave a new proof method of Alain Haraux’s theorem which was obtained by studying anti-periodic solutions to some nonlinear evolution equations in 1989. Then, it studied the existence and uniqueness of anti-periodic solutions for a class of the first order semilinear evolution equation.

Key words: nonlinear; evolution; anti-periodic solutions

陈晓玲, 吴柳婵. Hilbert空间中一阶非线性发展方程的反周期解问题[J]. 广东工业大学学报, 2014, 31(4): 74-78.

CHEN Xiao-Ling, WU Liu-Chan. Anti-periodic Solutions for the First Order Nonlinear Evolution Equations in Hilbert Space[J]. Journal of Guangdong University of Technology, 2014, 31(4): 74-78.

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Hilbert空间中一阶非线性发展方程的反周期解问题

Anti-periodic Solutions for the First Order Nonlinear Evolution Equations in Hilbert Space

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