Volterra functional integral equation of the first kind with nonlinear right-hand side and variable limits of integration

We prove a theorem on the existence and uniqueness of a solution of a Volterra functional integral equation of the first kind with nonlinear right-hand side and nonlinear deviation. We use the method of successive approximations combined with the method of contracting mappings.

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Datum:2006
Hauptverfasser: Artykova, J. A., Yuldashev, T. K., Артикова, Й. А., Юлдашев, Т. К.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2006
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/3530
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:We prove a theorem on the existence and uniqueness of a solution of a Volterra functional integral equation of the first kind with nonlinear right-hand side and nonlinear deviation. We use the method of successive approximations combined with the method of contracting mappings.