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Exponential stability in a scalar functional differential equation

Journal of Inequalities and Applications volume 2006, Article number: 37195 (2006) Cite this article

Abstract

We establish a criterion for the global exponential stability of the zero solution of the scalar retarded functional differential equation whose linear part generates a monotone semiflow on the phase space with respect to the exponential ordering, and the nonlinearity has at most linear growth.

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Authors and Affiliations

  1. Departamento de Matemática Aplicada II, ETSI Telecomunicación, Universidade de Vigo, Campus Marcosende, Vigo, 36280, Spain

    Eduardo Liz

  2. Department of Mathematics and Computing, University of Veszprém, P.O. Box 158, Veszprém, 8201, Hungary

    Mihály Pituk

Authors
  1. Eduardo Liz
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  2. Mihály Pituk
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Correspondence to Eduardo Liz.

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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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Liz, E., Pituk, M. Exponential stability in a scalar functional differential equation. J Inequal Appl 2006, 37195 (2006). https://doi.org/10.1155/JIA/2006/37195

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  • DOI: https://doi.org/10.1155/JIA/2006/37195

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