Data dependence of solutions for Fredholm-Volterra integral equations in L2[a, b]
| 06 giu 2014
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Pubblicato online: 06 giu 2014
Pagine: 5 - 19
Ricevuto: 15 ago 2013
DOI: https://doi.org/10.2478/ausm-2014-0001
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© 2014
This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
In this paper we study the continuous dependence and the differentiability with respect to the parameter λ ∈ [λ1, λ2] of the solution operator S : [λ1, λ2] → L2[a, b] for a mixed Fredholm-Volterra type integral equation. The main tool is the fiber Picard operators theorem (see [9], [8], [11], [3] and [2]).