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Dynamic behavior for a system of neutral functional differential equations

✍ Scribed by Hong Gao; Huiping Long

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
384 KB
Volume
58
Category
Article
ISSN
0898-1221

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✦ Synopsis

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 complement some corresponding ones already known.

πŸ“œ SIMILAR VOLUMES

Dynamic behavior for a class of neutral
Dynamic behavior for a class of neutral functional differential equations
✍ Mingquan Yang πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 309 KB

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.

Asymptotic behavior of bounded solutions
Asymptotic behavior of bounded solutions for a system of neutral functional differential equations
✍ Junxia Meng πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 240 KB

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.

Computational Scheme of a Center Manifol
Computational Scheme of a Center Manifold for Neutral Functional Differential Equations
✍ M. Ait Babram; O. Arino; M.L. Hbid πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 134 KB

This work addresses a computational algorithm of terms of a center manifold for neutral functional differential equations. The Bogdanov᎐Takens and the Hopf singularities are considered. Finally, as an illustration of our scheme, we give an example where the second term of a center manifold is explic