Existence of positive solutions for a nonlinear quadratic integral equation

In this article, we study the existence of positive solutions for the nonlinear quadratic integral equation $$ x(t)=g(t,x(t))\int_{-\infty}^{t}a(t,t-s)f(s,x(s))ds,\quad t\in\mathbb{R}. $$ By using fixed point theory on cones, we prove the existence and uniqueness of bounded and continuous solu...

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Bibliographic Details
Main Authors: Chu-Hang Wang, Hui-Sheng Ding, Gaston M. N'Guerekata
Format: Article
Language:English
Published: Texas State University 2019-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2019/79/abstr.html