Solutions of a quadratic Volterra-Stieltjes integral equation in the class of functions converging at infinity

Banaś, Józef and Dubiel, Agnieszka: Solutions of a quadratic Volterra-Stieltjes integral equation in the class of functions converging at infinity. Electronic journal of qualitative theory of differential equations 80. pp. 1-17. (2018)

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Abstract

The paper deals with the study of the existence of solutions of a quadratic integral equation of Volterra–Stieltjes type. We are looking for solutions in the class of real functions continuous and bounded on the real half-axis R+ and converging to proper limits at infinity. The quadratic integral equations considered in the paper contain, as special cases, a lot of nonlinear integral equations such as Volterra–Chandrasekhar or Volterra–Wiener–Hopf equations, for example. In our investigations we use the technique associated with measures of noncompactness and the Darbo fixed point theorem. Particularly, we utilize a measure of noncompactness related to the class of functions in which solutions of the integral equation in question are looking for.

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2018
Number: 80
Page Range: pp. 1-17
ISSN: 1417-3875
Uncontrolled Keywords: Integrálegyenlet
Additional Information: Bibliogr.: p. 16-17. ; Összefoglalás angol nyelven
Date Deposited: 2018. Nov. 07. 13:13
Last Modified: 2018. Nov. 07. 13:13
URI: http://acta.bibl.u-szeged.hu/id/eprint/55750

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