EXISTENCE OF A POSITIVE SOLUTION FOR A THIRD-ORDER THREE POINT BOUNDARY VALUE PROBLEM

被引：0

作者：

Rezaiguia, Ali ^{[1
]}

Kelaiaia, Smail ^{[2
]}

机构：

[1] Univ Souk Ahras, Fact Sci, Dept MI, Souk Ahras 41000, Algeria

[2] Univ Annaba, Dept Math, Fac Sci, POB12, Annaba, Algeria

来源：

MATEMATICKI VESNIK | 2016年 / 68卷 / 01期

关键词：

Third-order differential equations; three point boundary value problem; Krasnoselski fixed point in a cone; fixed point index theory;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By applying the Krasnoselskii fixed point theorem in cones and the fixed point index theory, we study the existence of positive solutions of the non linear third-order three point boundary value problem u'"(t) + a(t) f(t, u(t)) = 0, t is an element of (0, 1), u'(0) = u'(1) = alpha u(eta), u(01) = beta u(eta), where alpha, beta and eta are constants with alpha is an element of [0, 1/n), and 0 < eta < 1. The results obtained here generalize the work of Torres [Positive solution for a third-order three point boundary value problem, Electronic J. Diff. Equ. 2013 (2013), 147, 1-11].

引用

页码：12 / 25

页数：14

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