Solvability of nonlinear integral equations of product type
Date
2018-01-15
Authors
Boulfoul, Bilal
Bellour, Azzeddine
Djebali, Smail
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This article concerns nonlinear functional integral equations of product type. The first two equations set on a the positive half-axis encompass different classes of nonlinear integral equations and may involve the product of finitely many integral functions. The existence of integrable solutions is based on improved versions of Krasnoselskii's fixed point theorem combined with techniques of measure of weak noncompactness and some elements from functional analysis. The third one is an integro-differential equation set on a bounded interval, for which the existence of absolutely continuous solutions is provided. Examples show the applicability of our results.
Description
Keywords
Product integral equation, Measure of weak noncompactness, Strict gamma-contraction, Krasnoselskii's fixed point theorem, Caratheodory's conditions, (ws)-compact, Integrable solution, Absolutely continuous solution
Citation
Boulfoul, B., Bellour, A., & Djebali, S. (2018). Solvability of nonlinear integral equations of product type. <i>Electronic Journal of Differential Equations, 2018</i>(19), pp. 1-20.
Rights
Attribution 4.0 International