Abstract and Applied Analysis
Volume 2004 (2004), Issue 7, Pages 567-575
doi:10.1155/S1085337504306275
On linear singular functional-differential equations
in one functional space
Department of Mathematics and Informatics, Eduardo Mondlane University, Maputo 257, Mozambique
Received 1 October 2002
Copyright © 2004 Andrei Shindiapin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We use a special space of integrable functions for studying the
Cauchy problem for linear functional-differential equations with
nonintegrable singularities. We use the ideas developed by
Azbelev and his students (1995). We show that by
choosing the function ψ
generating the space, one can
guarantee resolubility and certain behavior of the solution near
the point of singularity.