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


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

Department of Mathematical Sciences, Florida Institute of Technology
Institute of Mathematics, National Academy of Sciences of Ukraine
Mathematical Institute, Academy of Sciences of the Czech Republic


© Agarwal and Rontó 2005