The study of the solution of a Fredholm-Volterra integral equation by Picard operators
DOI:
https://doi.org/10.24193/subbmath.2019.4.09Keywords:
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.
Mathematics Subject Classification (2010): 45G10, 47H10.
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