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Asymptotic behavior of bounded solutions for a system of neutral functional differential equations

✍ Scribed by Junxia Meng

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
240 KB
Volume
11
Category
Article
ISSN
1468-1218

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✦ Synopsis

Consider the system of neutral functional differential equations

is strictly increasing on R 1 , and some additional assumptions hold, then every bounded solution of such a system tends to an equilibrium. Our results correct and extend some corresponding ones already known.

πŸ“œ SIMILAR VOLUMES

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set 2r-periodic solutions a b s t r a c t Consider the system of neutral functional differential equations and some additional assumptions hold, then the Ο‰ limit set of every bounded solution of such a system with some initial conditions is composed of 2r-periodic solutions. Our results are new and

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In this paper we consider a sufficient condition for W t, x t to approach zero Ε½ . as t Βͺ Ο±, where x t is a solution of a non-autonomous functional differential Ε½ . equation with finite delays and W t, x is a so-called Lyapunov function. We shall show that in the applications this provides useful in