Exponential stability in a scalar functional differential equation

Eduardo Liz, M. Pituk

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We establish a criterion for the global exponential stability of the zero solution of the scalar retarded functional differential equation x (t)=L(xt)+g(t,xt) whose linear part y (t)=L(yt) generates a monotone semiflow on the phase space C=C([-r,0],) with respect to the exponential ordering, and the nonlinearity g has at most linear growth.

Original languageEnglish
Article number37195
JournalJournal of Inequalities and Applications
Volume2006
DOIs
Publication statusPublished - 2006

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Exponential Stability
Asymptotic stability
Functional Differential Equations
Differential equations
Scalar
Retarded Functional Differential Equations
Semiflow
Global Exponential Stability
Phase Space
Monotone
Nonlinearity
Zero

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Discrete Mathematics and Combinatorics

Cite this

Exponential stability in a scalar functional differential equation. / Liz, Eduardo; Pituk, M.

In: Journal of Inequalities and Applications, Vol. 2006, 37195, 2006.

Research output: Contribution to journalArticle

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