Solvability of an integral equation of Volterra-Wiener-Hopf type
type: Item
instance of: scholarly article
title: Solvability of an integral equation of Volterra-Wiener-Hopf type
zbMATH Open document ID: 1474.45015
DOI: 10.1155/2014/982079
author: Nurgali K. Ashirbayev
author: Józef Banaś
author: Agnieszka Dubiel
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The paper presents results concerning the solvability of a nonlinear integral equation of Volterra-Stieltjes type. We show that under some assumptions that equation has a continuous and bounded solution defined on the interval \(\left[0, \left.\infty\right)\right.\) and having a finite limit at infinity. As a special case of the mentioned integral equation we obtain an integral equation of Volterra-Wiener-Hopf type. That fact enables us to formulate convenient and handy conditions ensuring the solvability of the equation in question in the class of functions defined and continuous on the interval \(\left[0, \left.\infty\right)\right.\) and having finite limits at infinity.
Mathematics Subject Classification ID: 45D05
zbMATH DE Number: 7023449
Wikidata QID: Q59043290
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/982079
OpenAlex ID: W2095763447
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description: scientific article; zbMATH DE number 7023449