Convergence in Asymptotically Autonomous Functional Differential Equations

Ovide Arino, M. Pituk

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

In this paper, we consider linear and nonlinear perturbations of a linear autonomous functional differential equation which has infinitely many equilibria. We give sufficient conditions under which the solutions of the perturbed equation tend to the equilibria of the unperturbed equation at infinity. As a consequence, we obtain sufficient conditions for systems of delay differential equations to have asymptotic equilibrium.

Original languageEnglish
Pages (from-to)376-392
Number of pages17
JournalJournal of Mathematical Analysis and Applications
Volume237
Issue number1
DOIs
Publication statusPublished - Sep 1 1999

Fingerprint

Functional Differential Equations
Differential equations
Nonlinear Perturbations
Sufficient Conditions
Delay Differential Equations
Infinity
Tend

Keywords

  • Asymptotic constancy
  • Asymptotic equilibrium
  • Functional differential equation
  • Perturbed equation
  • Uniform stability

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Convergence in Asymptotically Autonomous Functional Differential Equations. / Arino, Ovide; Pituk, M.

In: Journal of Mathematical Analysis and Applications, Vol. 237, No. 1, 01.09.1999, p. 376-392.

Research output: Contribution to journalArticle

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