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

Chen Xiao-ling; Wu Liu-chan

doi:10.3969/j.issn.1007-7162.2014.04.014

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

更新时间：2026-05-27

- Anti-periodic Solutions for the First Order Nonlinear Evolution Equations in Hilbert Space
- Vol. 31, Issue 4, Pages: 74-78(2014)
- 作者机构：
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- DOI：10.3969/j.issn.1007-7162.2014.04.014
  CLC：
- Online First：28 December 2014，
  
  Published：2014
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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]. 2014, 31(4): 74-78.
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. DOI： 10.3969/j.issn.1007-7162.2014.04.014.

Chen Xiao-ling, Wu Liu-chan. Anti-periodic Solutions for the First Order Nonlinear Evolution Equations in Hilbert Space[J]. 2014, 31(4): 74-78. DOI： 10.3969/j.issn.1007-7162.2014.04.014.

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.

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.

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