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October 2019 On solutions of an infinite system of nonlinear integral equations on the real half-axis
Józef Banaś, Agnieszka Chlebowicz
Banach J. Math. Anal. 13(4): 944-968 (October 2019). DOI: 10.1215/17358787-2019-0008

Abstract

We investigate the existence of solutions of an infinite system of integral equations of Volterra–Hammerstein type on the real half-axis. The method applied in our study is connected with the construction of a suitable measure of noncompactness in the space of continuous and bounded functions defined on the real half-axis with values in the space c0 consisting of real sequences converging to zero and equipped with the classical supremum norm. We use the mentioned measure of noncompactness together with a fixed point theorem of Darbo type. Our investigations are illustrated by an example.

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Józef Banaś. Agnieszka Chlebowicz. "On solutions of an infinite system of nonlinear integral equations on the real half-axis." Banach J. Math. Anal. 13 (4) 944 - 968, October 2019. https://doi.org/10.1215/17358787-2019-0008

Information

Received: 27 August 2018; Accepted: 12 February 2019; Published: October 2019
First available in Project Euclid: 9 October 2019

zbMATH: 07118769
MathSciNet: MR4016904
Digital Object Identifier: 10.1215/17358787-2019-0008

Subjects:
Primary: 47H08
Secondary: 45G15

Rights: Copyright © 2019 Tusi Mathematical Research Group

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Vol.13 • No. 4 • October 2019
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