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

Authors

  • Maria Dobritoiu University of Petrosani

DOI:

https://doi.org/10.24193/subbmath.2019.4.09

Keywords:

Picard operators, Fredholm integral equation, Volterra integral equation, data dependence, integral inequalities, Ulam-Hyers stability

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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Published

2019-12-05

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