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Journal of Inequalities and Applications
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Linear functional differential equations possessing solutions with a given growth rate

Journal of Inequalities and Applications volume 2005, Article number: 838609 (2005) Cite this article

Abstract

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.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Florida Institute of Technology, 150 West University Boulevard, Melbourne, FL, 32901-6975, USA

    Ravi P Agarwal

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

    Andrei Rontó

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

    Andrei Rontó

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  1. Ravi P Agarwal
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  2. Andrei Rontó
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Correspondence to Ravi P Agarwal.

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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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Agarwal, R.P., Rontó, A. Linear functional differential equations possessing solutions with a given growth rate. J Inequal Appl 2005, 838609 (2005). https://doi.org/10.1155/JIA.2005.49

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  • DOI: https://doi.org/10.1155/JIA.2005.49