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Dynamic behavior for a class of neutral functional differential equations

✍ Scribed by Mingquan Yang


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
309 KB
Volume
22
Category
Article
ISSN
0893-9659

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✦ Synopsis


Consider the neutral functional differential equation

and some additional assumptions hold, then the Ο‰ limit set of every bounded solution of such a equation with some initial conditions is composed of r-periodic solutions. Our results are new and complement some corresponding ones already known.


πŸ“œ SIMILAR VOLUMES


Dynamic behavior for a system of neutral
✍ Hong Gao; Huiping Long πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 384 KB

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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✍ Guirong Liu; Weiping Yan; Jurang Yan πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 648 KB

In this paper, we study the existence and uniqueness of periodic solutions of the nonlinear neutral functional differential equation with infinite delay of the form d dt In the process we use the fundamental matrix solution of and construct appropriate mappings, where u ∈ C (R, R n ) is an Ο‰-perio