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A study of normality and continuity for mixed integral equations
J. Fixed Point Theory Appl. • 2018
Publication Information
Authors
M. A. Abdou; M. E. Nasr; M. A. Abdel-Aty
Keywords
Mixed integral equations; A linear system of Fredholm integral
equations (LSFIEs); Resolvent kernel; Phase-lag.
Journal
J. Fixed Point Theory Appl.
Publisher
Springer International Publishing AG, part of Springer Nature 2018
Volume
20
Issue
1
Pages
Not Available
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
This paper presents a numerical method for solving a mixed
Fredholm–Volterra linear integral equation of the second kind in a
Banach space. Under certain conditions, the existence and uniqueness of the solution are proved, using Banach’s fixed point theorem. Using Nystrom’s method, the problem is reduced to a system of linear integral equations, whose solution is then found by the resolvent method.
The ideas are interesting and this area caught the attention of many
researchers, having so many applications. This paper starts with a brief introduction in the subject and then proposes a new scheme which is discussed in details. The numerical examples in Sect. 6 illustrate the applicability of the theoretical results.
Fredholm–Volterra linear integral equation of the second kind in a
Banach space. Under certain conditions, the existence and uniqueness of the solution are proved, using Banach’s fixed point theorem. Using Nystrom’s method, the problem is reduced to a system of linear integral equations, whose solution is then found by the resolvent method.
The ideas are interesting and this area caught the attention of many
researchers, having so many applications. This paper starts with a brief introduction in the subject and then proposes a new scheme which is discussed in details. The numerical examples in Sect. 6 illustrate the applicability of the theoretical results.