<abstract xmlns="http://www.w3.org/1999/xhtml"> 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]).</abstract>

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]).

Data dependence of solutions for Fredholm-Volterra integral equations in L2[a, b]

Babeş-Bolyai University Department of Applied Mathematics Cluj-Napoca, M. Kogălniceanu, No. 1, Romania

Acta Universitatis Sapientiae, Mathematica

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.

Data dependence of solutions for Fredholm-Volterra integral equations in L[a, b]

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] →...

Data dependence of solutions for Fredholm-Volterra integral equations in L²[a, b]

Publié en ligne: 06 juin 2014

Pages: 5 - 19

Reçu: 15 août 2013

DOI: https://doi.org/10.2478/ausm-2014-0001

Mots clés
Fredholm-Volterra integral equations, fiber Picard operators

© 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.

Data dependence of solutions for Fredholm-Volterra integral equations in L2[a, b]

Publié en ligne: 06 juin 2014

Pages: 5 - 19

Reçu: 15 août 2013

DOI: https://doi.org/10.2478/ausm-2014-0001

Mots clésFredholm-Volterra integral equations, fiber Picard operators

© 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.

Data dependence of solutions for Fredholm-Volterra integral equations in L²[a, b]

Mots clés
Fredholm-Volterra integral equations, fiber Picard operators