Open Access

Abstract differential inequalities and the Cauchy problem for infinite-dimensional linear functional differential equations

Journal of Inequalities and Applications20052005:348549

DOI: 10.1155/JIA.2005.235

Received: 27 August 2003

Published: 11 July 2005


We establish optimal, in a sense, unique solvability conditions of the Cauchy problem for a wide class of linear functional differential equations in a Banach space with a solid wedge. The conditions are formulated in terms of certain abstract functional differential inequalities.

Authors’ Affiliations

Institute of Mathematics, National Academy of Sciences of Ukraine
Mathematical Institute, Czech Academy of Sciences


© Rontó and Šremr. 2005