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

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

Recommended by Alberto Cabada

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.