Open Access
27 April 2004 Linear differential equations with unbounded delays and a forcing term
Jan Čermák, Petr Kundrát
Abstr. Appl. Anal. 2004(4): 337-345 (27 April 2004). DOI: 10.1155/S1085337504306020


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), tI=[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.


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Jan Čermák. Petr Kundrát. "Linear differential equations with unbounded delays and a forcing term." Abstr. Appl. Anal. 2004 (4) 337 - 345, 27 April 2004.


Published: 27 April 2004
First available in Project Euclid: 4 May 2004

zbMATH: 1104.34053
MathSciNet: MR2064145
Digital Object Identifier: 10.1155/S1085337504306020

Primary: 34K25 , 39B22

Rights: Copyright © 2004 Hindawi

Vol.2004 • No. 4 • 27 April 2004
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