Three positive solutions for a generalized Laplacian boundary value problem with a parameter

被引：16

作者：

Bai, Dingyong ^{[2
,3
]}

Chen, Yuming ^{[1
]}

机构：

[1] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada

[2] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong Provi, Peoples R China

[3] Guangzhou Univ, Guangdong Higher Educ Inst, Key Lab Math & Interdisciplinary Sci, Guangzhou 510006, Guangdong Provi, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 09期

基金：

高等学校博士学科点专项科研基金; 加拿大自然科学与工程研究理事会;

关键词：

Generalized Laplacian boundary value problem; Leggett-Williams fixed point theorem; Positive solution; Symmetric solution; IMPULSIVE DIFFERENTIAL-EQUATIONS; MULTIPLICITY RESULT; SYSTEMS; EXISTENCE;

D O I：

10.1016/j.amc.2012.10.100

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Concerned is a generalized Laplacian boundary value problem with a positive parameter. First we apply the Leggett-Williams fixed point theorem to establish sufficient conditions on the existence of at least three positive solutions for the parameter belonging to an explicit interval. Then, under a little bit stronger assumptions, we show that there are at least three positive symmetric solutions for the parameter in an open interval. The obtained results are new even for Laplacian boundary value problems and they are illustrated with an example. Crown Copyright (C) 2012 Published by Elsevier Inc. All rights reserved.

引用

页码：4782 / 4788

页数：7

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