EXISTENCE AND UNIQUENESS OF SOLUTION FOR A SECOND ORDER BOUNDARY VALUE PROBLEM

被引：5

作者：

Guezane-Lakoud, A. ^{[1
]}

Hamidane, N. ^{[1
]}

Khaldi, R. ^{[2
]}

机构：

[1] Badji Mokhtar Annaba Univ, Fac Sci, Lab Adv Mat, POB 12, Annaba 23000, Algeria

[2] Badji Mokhtar Annaba Univ, Fac Sci, Lab LASEA, Annaba 23000, Algeria

来源：

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2013年 / 62卷 / 01期

关键词：

Fixed point theorem; two-point boundary value problem; Banach contraction principle; Leray Schauder nonlinear alternative; second-order equation;

D O I：

10.1501/Commua1_0000000691

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with a second order boundary value problem with only integrals conditions. Our aim is to give new conditions on the nonlinear term, then, using Banach contraction principle and Leray Schauder nonlinear alternative, we establish the existence of nontrivial solution of the considered problem. As an application, some examples to illustrate our results are given.

引用

页码：121 / 129

页数：9

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