TRIPLE POSITIVE SOLUTIONS OF NONLINEAR THIRD ORDER BOUNDARY VALUE PROBLEMS

被引：4

作者：

Liu, Zeqing ^{[2
]}

Kang, Shin Min ^{[1
,3
]}

Ume, Jeong Sheok ^{[4
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea

[2] Liaoning Normal Univ, Dept Math, Dalian 116029, Liaoning, Peoples R China

[3] Gyeongsang Natl Univ, Res Inst Nat Sci, Jinju 660701, South Korea

[4] Changwon Natl Univ, Dept Appl Math, Chang Won 641733, South Korea

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2009年 / 13卷 / 03期

关键词：

Nonlinear third order two-point boundary value problem; Multiple positive solutions; Green's function; Leggett-Williams fixed point theorem; Krasnosel'skii fixed-point theorem; EXISTENCE; EQUATIONS;

D O I：

10.11650/twjm/1500405451

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the following nonlinear third order two-point boundary value problem x''' (t) + f(t, x(t)) = 0, a < t < b, x(a) = x ''(a) = x(b) = 0. By using the Leggett-Williams and Krasnosel'skii fixed-point theorems, we offer criteria for the existence of three positive solutions to the boundary value problem. Examples are also included to illustrate the results obtained.

引用

页码：955 / 971

页数：17

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