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

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.

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Correspondence to Andrei Rontó.

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Rontó, A., Šremr, J. Abstract differential inequalities and the Cauchy problem for infinite-dimensional linear functional differential equations. J Inequal Appl 2005, 348549 (2005). https://doi.org/10.1155/JIA.2005.235

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