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Journal of Inequalities and Applications
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Abstract differential inequalities and the Cauchy problem for infinite-dimensional linear functional differential equations

Journal of Inequalities and Applications volume 2005, Article number: 348549 (2005) Cite this article

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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Authors and Affiliations

  1. Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereschenkovskaya, Kiev, 01601, Ukraine

    Andrei Rontó

  2. Mathematical Institute, Czech Academy of Sciences, Žižkova 22, Brno, 61662, Czech Republic

    Andrei Rontó & Jiří Šremr

Authors
  1. Andrei Rontó
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  2. Jiří Šremr
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Correspondence to Andrei Rontó.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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