Data dependence of solutions for Fredholm-Volterra integral equations in L2[a, b]
Jun 06, 2014
![Data dependence of solutions for Fredholm-Volterra integral equations in L2[a, b]'s Cover Image](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/6470ccf771e4585e08aa5d23/cover-image.jpg)
About this article
Published Online: Jun 06, 2014
Page range: 5 - 19
Received: Aug 15, 2013
DOI: https://doi.org/10.2478/ausm-2014-0001
Keywords
© 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]).