Existence and Uniqueness of Positive Solutions for a Singular Second-Order Integral Boundary Value Problem

被引：0
|
作者：
Caballero, Josefa [1 ]
Lopez, Belen [1 ]
Sadarangani, Kishin [1 ]
机构：
[1] Univ Las Palmas Gran Canaria, Dept Matemat, Campus Tafira Baja, Las Palmas Gran Canaria 35017, Spain
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2021年 / 40卷 / 01期
关键词：
Integral boundary value problem; positive solution; fixed point theorem; EQUATIONS;
D O I：
10.4171/ZAA/1672
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we discuss the existence and uniqueness of positive solutions for the second order integral boundary value problem {x ''(t) + f(t, x(t), (Hx)(t)) = 0, 0 < t < 1, x(0) = 0, x(1) = integral(1 a(s)x(s)ds,)(0) where the function f has a singularity at t(0) = 0. Our main tool is a fixed point theorem of Wardowski (2012). Moreover, we present several examples illustrating our result.
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页码：51 / 65
页数：15
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