An Investigation of an Integral Equation Involving Convex-Concave Nonlinearities

被引：2

作者：

Agarwal, Ravi P. ^{[1
]}

Jleli, Mohamed ^{[2
]}

Samet, Bessem ^{[2
]}

机构：

[1] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA

[2] King Saud Univ, Dept Math, Coll Sci, POB 2455, Riyadh 11451, Saudi Arabia

来源：

MATHEMATICS | 2021年 / 9卷 / 19期

关键词：

integral equation; convex-concave nonlinearities; positive solution; ALMOST-PERIODIC SOLUTIONS; FUNCTIONAL-EQUATIONS; THRESHOLD THEOREM; BLOW-UP; EXISTENCE; EPIDEMICS;

D O I：

10.3390/math9192372

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the existence and uniqueness of positive solutions to an integral equation involving convex or concave nonlinearities. A numerical algorithm based on Picard iterations is provided to obtain an approximation of the unique solution. The main tools used in this work are based on partial-ordering methods and fixed-point theory. Our results are supported by examples.

引用

页数：10

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