The study of the solution of a Fredholm-Volterra integral equation by Picard operators

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 18 Nov 2019Publisher:Babes-Bolyai University Cluj-NapocaJournal:Studia Universitatis Babes-Bolyai Matematica, volume 64, pages 551-563 (issn: 0252-1938, eissn: 2065-961X,

Copyright policy )Funded by:FCT | H21

Authors: Maria Dobritoiu;

doi: 10.24193/subbmath.2019.4.09

The study of the solution of a Fredholm-Volterra integral equation by Picard operators

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Abstract

In this paper we will use the Picard operators technique, in order to establish the existence and uniqueness, data dependence and Gronwall-type results for the solutions of a Fredholm-Volterra functional-integral equation. The paper ends with a result of the Ulam-Hyers stability of this integral equation.

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