Items related to On Some Problems of Mixed Integral Equations: Analytical...

On Some Problems of Mixed Integral Equations: Analytical discussion of integral equations - Softcover

Abdel-Aty, Mohammed; Abdou, Mohammed; Nasr, Mohammed

 
9786200777027: On Some Problems of Mixed Integral Equations: Analytical discussion of integral equations

Synopsis

This book presents a solution of the Volterra-Fredholm integralequation (V-FIE) in a Banach space. Under certain conditions, the existence anduniqueness of the solution are proved, using Banach's fixed point theorem. Using a numerical technique the V-FIE leads us to a system of linear Fredholm integral equations (SLFIEs). The normality and the continuity of integral operatorare discussed. The degenerate kernel method (DKM) is used to get the solution of the reduced system.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 illustrate the applicability of the theoretical results.

"synopsis" may belong to another edition of this title.