首页    期刊浏览 2025年07月26日 星期六
登录注册

文章基本信息

  • 标题:Anti-periodic solutions for nonlinear evolution equations
  • 本地全文:下载
  • 作者:Yi Cheng ; Fuzhong Cong ; Hongtu Hua
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2012
  • 卷号:2012
  • 期号:1
  • 页码:165
  • DOI:10.1186/1687-1847-2012-165
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we use the homotopy method to establish the existence and uniqueness of anti-periodic solutions for the nonlinear anti-periodic problem { x ˙ + A ( t , x ) + B x = f ( t ) a.e. t ∈ R , x ( t + T ) = − x ( t ) , where A ( t , x ) is a nonlinear map and B is a bounded linear operator from R N to R N . Sufficient conditions for the existence of the solution set are presented. Also, we consider the nonlinear evolution problems with a perturbation term which is multivalued. We show that, for this problem, the solution set is nonempty and weakly compact in W 1 , 2 ( I , R N ) for the case of convex valued perturbation and prove the existence theorems of anti-periodic solutions for the nonconvex case. All illustrative examples are provided.
  • 关键词:anti-periodic solution ; evolution equation ; Leray-Schauder alternative theorem ; measurable selection ; continuous selection
国家哲学社会科学文献中心版权所有