Linear differential equations with unbounded delays and a forcing term

Jan Čermák and Petr Kundrát

Abstract and Applied Analysis, 2004, vol. 2004, issue 4, 337-345

Abstract: The paper discusses the asymptotic behaviour of all solutions of the differential equation y˙(t)=−a(t)y(t)+∑i=1nbi(t)y(τi(t))+f(t), t ∈ I = [t0, ∞), with a positive continuous function a, continuous functions bi, f, and n continuously differentiable unbounded lags. We establish conditions under which any solution y of this equation can be estimated by means of a solution of an auxiliary functional equation with one unbounded lag. Moreover, some related questions concerning functional equations are discussed as well.

Date: 2004
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https://doi.org/10.1155/S1085337504306020

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2004:y:2004:i:4:p:337-345

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