Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 384910, 16 pages
Research Article

On Singular Solutions of Linear Functional Differential Equations with Negative Coefficients

Vita Pylypenko1 and András Rontó2

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.


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.