An Existence Theorem for Some Nonlinear Volterra-Fredholm Integral Equations in the Space of Continuous Tempered Functions. (18th August 2021)

• Record Type: Journal Article
• Authors: Özdemir, İsmet
• Is Part Of: Numerical functional analysis and optimization. Volume 42:Number 11(2021)
• Page Start: 1287
• Page End: 1307
• Publication Date: 2021-08-18
• Subjects: Measure of noncompactness -- nonlinear integral equation -- Schauder fixed-point theorem -- space of continuous tempered functions; Primary: 45G10 -- 47H08 -- Secondary: 47H10 -- 45M99; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2021.1954659
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: The aim of the present paper is to study the existence and asymptotic behavior of the solutions of some functional integral equations which contain a number of classical nonlinear integral equations as special cases. The main tools used in our considerations are the concept of a measure of noncompactness and the classical Schauder fixed point principle. The investigations of the paper are placed in the space of continuous and tempered functions on the real half-line. The applicability of the results is illustrated by examples.