期刊文献+

一类带p-Laplacian的Sturm-Liouville型四点边值问题多个正解的存在性

Three Positive Solutions of a Kind of Sturm-Liouville Boundary Value Problem with one Dimensional p-Laplacian
原文传递
导出
摘要 研究了一类带p-Laplacian的四点边值问题.通过运用锥上的不动点定理,我们得到了该类Sturm-Liouville型边值问题三个正解的存在性. We are concerned with a kind of four point boundary value problem with onedimensional p-Laplacian. By using a fixed point theorem in a cone, we obtain the existence of at least three positive solutions.
出处 《数学的实践与认识》 CSCD 北大核心 2008年第17期149-153,共5页 Mathematics in Practice and Theory
基金 Supported by NNSF of P.R.China(No:10671012) the Doctoral Programme Foundation of Education Ministry of China(20050007011)
关键词 Sturm—Liouville型 正解 边值问题 不动点定理 p—Laplacian Sturm-Liouville-like positive solutions boundary value problem (BVP) fixed point theorem p-Laplacian
  • 相关文献

参考文献4

  • 1Avery'R I, Peterson A C. Three positive fixed points of nonlinear operators on ordered Banach spaces[J]. Comput Math Appl,2001,42(3-5) :313-322.
  • 2H Sh Lv, D O'Regan, Ch K Zhong. Multiple positive solutions for the one-dimensional singular p-Laplaeian[J]. Appl Math Comput, 2002,133 (2-3) : 407-422.
  • 3Wong P J Y, Agarwal R P. Multiple positive solutions of two-point right foral boundary value problems[J]. Math Comput Modell, 1998,28 ( 3 ) : 41-49.
  • 4Il'in1 V A Il'in, Moiseev E I. Nonlocal boundary value problem of the first kind for a Sturm-Liouville operator in its differential and finite difference aspeets[J]. Differential Equations, 1987,23: 803-810.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部