数学物理学报 ›› 2009, Vol. 29 ›› Issue (2): 344-352.

• 论文 • 上一篇    下一篇

四阶超线性奇异p-Laplacian 边值问题的正解

王艳玲,史国良   

  1. (天津大学理学院数学系 |天津 |300072)
  • 收稿日期:2007-12-25 修回日期:2009-02-15 出版日期:2009-04-25 发布日期:2009-04-25
  • 基金资助:

    国家自然科学基金(10671141)资助

Positve Solutions of Fourth Order Singular Superlinear p-Laplacian BVPs

 WANG Yan-Ling, SHI Guo-Liang   

  1. (Department of Mathematics, |Tianjin University, Tianjin 300072)
  • Received:2007-12-25 Revised:2009-02-15 Online:2009-04-25 Published:2009-04-25
  • Supported by:

    国家自然科学基金(10671141)资助

摘要:

该文利用锥上的不动点定理, 给出四阶超线性奇异p-Laplacian 边值问题正解存在的充分必要条件. 所给出的条件与非线性项的可积性有关.

关键词: 正解, 四阶微分方程, 边值问题, 充要条件

Abstract:

Necessary and sufficient conditions for existence of positive solutions of fourth order singular superlinear p-Laplacian BVPs are established by employing the fixed point theorem in cones. The conditions involve   the integral of the nonlinear terms.

Key words: Positive solution, Fourth order differential equation, Boundary value problem, Necessary and sufficient condition

中图分类号: 

  • 34B15