Open Access

On Singular Solutions of Linear Functional Differential Equations with Negative Coefficients

Journal of Inequalities and Applications20082008:384910

DOI: 10.1155/2008/384910

Received: 26 May 2008

Accepted: 1 September 2008

Published: 7 October 2008

Abstract

The problem on solutions with specified growth for linear functional differential equations with negative coefficients is treated by using two-sided monotone iterations. New theorems on the existence and localisation of such solutions are established.

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Authors’ Affiliations

(1)
National Technical University of Ukraine "Kyiv Polytechnic Institute", Faculty of Physics and Mathematics
(2)
Institute of Mathematics, Academy of Sciences of Czech Republic

Copyright

© V. Pylypenko and A. Rontó. 2008

This article is published under license to BioMed Central Ltd. 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.