Volume no :18, Issue no: 1-2, November and December 2012

Journal of Mathematical Sciences: Advances and Applications

SPECTRAL RELATIONSHIPS OF MIXED INTEGRAL EQUATION IN THREE DIMENSIONS

Author's: A. K. KHAMIS
Pages: [47] - [62]
Received Date: April 28, 2011
Submitted by:

Abstract

Here, the solution of the mixed integral equation of the first kind in one, two, and three dimensions is obtained in the space is the domain of integration with respect to position. Many spectral relationships, when the kernel of the position takes a form of logarithmic kernel, Carleman kernel, elliptic kernel, potential kernel, generalized potential kernel, and Macdonald kernel, are considered as special cases of this work. Also, many important cases are obtained and discussed.

Keywords

mixed integral equation, generalized kernel, Weber-Sonien integral, spectral relationships.