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Exponential stability in a scalar functional differential equation

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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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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Keywords

  • Differential Equation
  • Phase Space
  • Linear Part
  • Linear Growth
  • Exponential Stability
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