Volume no :42, Issue no: 1, November (2016)

ON QUASI-INTEGRO DIFFERENTIAL EQUATIONS AND THEIR SOLUTIONS IN

Author's: Sobhy El-Sayed Ibrahim
Pages: [27] - [49]
Received Date: September 22, 2016
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121722

Abstract

In this paper, we consider a general quasi-differential expression of order n with complex coefficients and its formal adjoint in the space We show in the case of one singular end-point and under suitable conditions on the function that all solutions of general quasi-integro differential equation are in for all provided that all solutions of the homogeneous differential equations and are in

Keywords

quasi-differential expressions, regular and singular endpoints, minimal and maximal operators, quasi-differential operators in quasi-integro differential equations and their solutions, boundedness of solutions.