四川师范大学学报(自然科学版)2012,Vol.35Issue(1):78-81,4.DOI:10.3969/j.issn.1001-8395.2012.01.017
具p-Laplacian算子方程多点边值问题3个正解的存在性
Existence of Three Positive Solutions of a Multi-point BVP for p-Laplacian Equations
摘要
Abstract
Multi-point boundary value problem for p-Laplacian equations have many applications and have been studied by many scholars. Most of the known results focus on the existence of at least one positive solutions. In this paper, using Leggett-willians fixed point theorem, the new sufficient conditions to guarantee the existence of multiple positive solutions of a kind of mixed type multi-point boundary value problem are established. An example is presented to illustrate the main result.关键词
p-Laplacian算子微分方程/多点边值问题/正解Key words
one-dimension p-Laplacian differential equation/ multi-point boundary value problem/ positive solution分类
数理科学引用本文复制引用
刘兴元..具p-Laplacian算子方程多点边值问题3个正解的存在性[J].四川师范大学学报(自然科学版),2012,35(1):78-81,4.基金项目
湖南省教育厅科研基金(08C794)资助项目 (08C794)