Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 384910, 16 pages
doi:10.1155/2008/384910
Research Article
On Singular Solutions of Linear Functional Differential Equations with Negative Coefficients
1National Technical University of Ukraine “Kyiv Polytechnic Institute”, Faculty of Physics and Mathematics, 37 Peremohy Avenue, 03 056 Kyiv, Ukraine
2Institute of Mathematics, Academy of Sciences of Czech Republic, Žižkova 22, 61662 Brno, Czech Republic
Received 26 May 2008; Accepted 1 September 2008
Academic Editor: Alberto Cabada
Copyright © 2008 Vita Pylypenko and András Rontó. 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
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.