Open Access

Linear functional differential equations possessing solutions with a given growth rate

Journal of Inequalities and Applications20052005:838609

DOI: 10.1155/JIA.2005.49

Received: 7 April 2004

Published: 1 February 2005

Abstract

We establish optimal, in a sense, conditions under which, for arbitrary forcing terms from a suitable class, a linear inhomogeneous functional differential equation in a preordered Banach space possesses solutions satisfying a certain growth restriction.

Authors’ Affiliations

(1)
Department of Mathematical Sciences, Florida Institute of Technology
(2)
Institute of Mathematics, National Academy of Sciences of Ukraine
(3)
Mathematical Institute, Academy of Sciences of the Czech Republic

Copyright

© Agarwal and Rontó 2005