Existence Results for Nonlinear Boundary Value Problems

被引：7
|
作者：
Ghanmi, Abdeljabbar [1 ]
Horrigue, Samah [1 ]
机构：
[1] Univ Jeddah, Fac Sci & Arts, Math Dept, Jeddah, Saudi Arabia
来源：
FILOMAT | 2018年 / 32卷 / 02期
关键词：
Multiple positive solutions; Fixed points; Operator equations; Half-line; ORDINARY DIFFERENTIAL-EQUATION; POSITIVE SOLUTIONS;
D O I：
10.2298/FIL1802609G
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we are concerned to prove under some hypothesis the existence of fixed points of the operator L defined on C(I) by Lu(t) = integral(w)(0) G(t ,s)h(s)f(u(s))ds, t is an element of I, omega is an element of {1,infinity}, where the functions f is an element of C([0, infinity);[0, infinity)), h is an element of C(I;[0, infinity)), G is an element of C(I X I) and { I = [0, 1], if omega = 1, I = [0, infinity), if omega = infinity. By using Guo Krasnoselskii fixed point theorem, we establish the existence of at least one fixed point of the operator L.
引用
收藏
页码：609 / 618
页数：10
相关论文
共 50 条
12345