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29 June 2004 On linear singular functional-differential equations in one functional space
Andrei Shindiapin
Abstr. Appl. Anal. 2004(7): 567-575 (29 June 2004). DOI: 10.1155/S1085337504306275

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.

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Andrei Shindiapin. "On linear singular functional-differential equations in one functional space." Abstr. Appl. Anal. 2004 (7) 567 - 575, 29 June 2004. https://doi.org/10.1155/S1085337504306275

Information

Published: 29 June 2004
First available in Project Euclid: 7 July 2004

zbMATH: 1086.34506
MathSciNet: MR2084936
Digital Object Identifier: 10.1155/S1085337504306275

Subjects:
Primary: 34K10

Rights: Copyright © 2004 Hindawi

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Vol.2004 • No. 7 • 29 June 2004
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