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

• 综合研究 • 上一篇    下一篇

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   

  1. 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   

  1. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520，China
  • Received:2013-05-06 Online:2014-12-28 Published:2014-12-28

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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

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