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

Maria Dobritoiu

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.


Keywords


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

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2019.4.09

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