✦ LIBER ✦

Asymptotic Behavior of Solutions of Functional Differential Equations with Finite Delays

✍ Scribed by Takeshi Taniguchi

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 153 KB
Volume: 199
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0175

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we consider a sufficient condition for W t, x t to approach zero Ž . as t ª ϱ, where x t is a solution of a non-autonomous functional differential Ž . equation with finite delays and W t, x is a so-called Lyapunov function. We shall show that in the applications this provides useful information for asymptotic Ž . behavior of the solution x t . For example, we generalize examples given by J. R.

Ž . Haddock and J. Terjeki J. Differential Equations 48, 1983, 95᎐122 to the case of ńon-autonomous systems.

📜 SIMILAR VOLUMES

Asymptotic Behaviors of Solutions of Non

Asymptotic Behaviors of Solutions of Nonautonomous Functional Differential Equations with Infinite Delay

✍ W. Huang 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 370 KB

Asymptotic Behavior of Solutions of Impu

Asymptotic Behavior of Solutions of Impulsive Delay Differential Equations

✍ Aimin Zhao; Jurang Yan 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 138 KB

are obtained by investigating respectively the asymptotic behavior of the nonoscillatory solutions and oscillatory solutions of the equation.

Positive Solutions and Asymptotic Behavi

Positive Solutions and Asymptotic Behavior of Delay Differential Equations with Nonlinear Impulses

✍ Yu Jiang; Yan Jurang 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 168 KB

On the Asymptotic Stability of the Solut

On the Asymptotic Stability of the Solutions of Functional Differential Equations with Infinite Delay

✍ G. Makay 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 389 KB

Asymptotic Theory for a Class of Functio

Asymptotic Theory for a Class of Functional Differential Equations with State-Dependent Delays

✍ Wolfgang Desch; Janos Turi 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 164 KB

Oscillatory and Asymptotic Behavior of D

Oscillatory and Asymptotic Behavior of Damped Functional Differential Equations

✍ S. R. Grace 📂 Article 📅 1989 🏛 John Wiley and Sons 🌐 English ⚖ 340 KB

New theoremrj on the oscillatory and asymptotic behavior of solutions of t h e damped differential equations with deviating arguments of the form and z -w -PW z ~" + w i(zrmi) = o , are established.