Existence Results for Nonlinear Boundary Value Problems

被引:10
作者
Ghanmi, Abdeljabbar [1 ]
Horrigue, Samah [1 ]
机构
[1] Univ Jeddah, Fac Sci & Arts, Math Dept, Jeddah, Saudi Arabia
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
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