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具p-Laplacian算子方程多点边值问题3个正解的存在性

刘兴元

四川师范大学学报(自然科学版)2012,Vol.35Issue(1):78-81,4.
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

刘兴元1

作者信息

  • 1. 邵阳学院数学系,湖南邵阳422000
  • 折叠

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)

四川师范大学学报(自然科学版)

OA北大核心CSCDCSTPCD

1001-8395

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