Volume no :27, Issue no: 1, May

ON THE INTEGRABLE SOLUTIONS OF PRODUCT INTEGRO DIFFERENTIAL EQUATIONS IN DIRECT SUM SPACES

Author's: Sobhy El-Sayed Ibrahim
Pages: [11] - [41]
Received Date: January 23, 2014
Submitted by:

Abstract

In this paper, we consider a product of quasi-differential expressions each of order n with complex coefficients and their formal adjoints on respectively. We show in the direct sum spaces of functions defined on each of the separate intervals in the case of one singular end-points and under suitable conditions on the function F that all solutions of product integro differential equations are bounded and on

Keywords

quasi-differential expressions, product integro-differential equation, direct sum spaces, bounded and square integrable solutions.