Asymptotic stability of a class of integro-differential equations

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

We examine the asymptotic stability of the zero solution of the first-order linear equation x′(t) = Ax(t) + ∝0t B(t - s) x(s) ds, where B(t) is integrable and does not change sign on [0, ∞). The results are applied to an examination of the stability of equilibrium of some nonlinear population models.

Original languageEnglish (US)
Pages (from-to)180-188
Number of pages9
JournalJournal of Differential Equations
Volume28
Issue number2
DOIs
StatePublished - Jan 1 1978
Externally publishedYes

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Integrodifferential equations
Stability of Equilibria
Sign Change
Population Model
Asymptotic stability
Linear equations
Integro-differential Equation
Asymptotic Stability
Nonlinear Model
Linear equation
First-order
Zero
Class

ASJC Scopus subject areas

  • Analysis

Cite this

Asymptotic stability of a class of integro-differential equations. / Brauer, Fred.

In: Journal of Differential Equations, Vol. 28, No. 2, 01.01.1978, p. 180-188.

Research output: Contribution to journalArticle

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