数学物理学报

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一类非线性两点边值问题的正解

路慧芹   

  1. 山东师范大学数学科学学院 济南 250014
  • 收稿日期:2005-11-08 修回日期:2006-08-23 出版日期:2007-10-25 发布日期:2007-10-25
  • 通讯作者: 路慧芹
  • 基金资助:
    国家自然科学基金(10471075)和国家自然科学基金数学天元基金(A0324616)资助

Positive Solutions for a Class of Two-point Boundary Value Problems with Nonlinearity

Lu Huiqin   

  1. Department of Mathematics, Shandong Normal University, Jinan 250014
  • Received:2005-11-08 Revised:2006-08-23 Online:2007-10-25 Published:2007-10-25
  • Contact: Lu Huiqin

摘要: 该文研究了一类非线性两点边值问题正解的确切个数及全局结构, 证明了其解集本身构成一条连通分支.广泛地回答了文献[1]中提出的问题.

关键词: 正解的全局结果, 连通分支, 边值问题

Abstract: Exact number of solutions and behaviour of continuum of the solution set are obtained for a class of nonlinear boundary value problems. The results in the paper generally answer an open problem in paper [1].

Key words: Boundary value problems.Global results of positive solutions, Continuum

中图分类号: 

  • 34B15