# Hatvani László honlapja

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 Cím: Asymptotic stability conditions for a linear nonautonomous delay differential equation. Szerzõ: Hatvani, L. Forrás: Martelli, Mario (ed.) et al., Differential equations and applications to biology and to industry. Proceedings of the Claremont international conference dedicated to the memory of Stavros Busenberg (1941--1993), Claremont, CA, USA, June 1--4, 1994. Singapore: World Scientific. 181-190 (1996). [ISBN 981-02-2233-5/hbk] Nyelv: English Absztrakt: The differential equation $\dot x(t) = b(t) x(t-h) - c(t) x(t)$ is investigated. Especially, the stability of the zero solution is interesting. The author cites several known results by various other authors. Using a Lyapunov functional, conditions for the coefficient functions $b(t)$ and $c(t)$ are formulated such that the zero solution is asymptotically stable. It is discussed whether the boundedness-like conditions on $b$ and $c$ are essential.} \RV{Karin Gatermann (Berlin) Letöltés: | Zentralblatt