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

Andrei Rontó; Jiří Šremr

doi:10.1155/JIA.2005.235

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

Andrei Rontó^{1, 2}Email author and
Jiří Šremr²

Journal of Inequalities and Applications20052005:348549

https://doi.org/10.1155/JIA.2005.235

Received: 27 August 2003

Published: 11 July 2005

Abstract

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

(1)

Institute of Mathematics, National Academy of Sciences of Ukraine

(2)

Mathematical Institute, Czech Academy of Sciences

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

Abstract

Authors’ Affiliations

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