Open Access

Exponential stability in a scalar functional differential equation

Journal of Inequalities and Applications20062006:37195

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

Received: 21 March 2006

Accepted: 21 September 2006

Published: 9 November 2006

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’ Affiliations

(1)
Departamento de Matemática Aplicada II, ETSI Telecomunicación, Universidade de Vigo
(2)
Department of Mathematics and Computing, University of Veszprém

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Copyright

© E. Liz and M. Pituk. 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.