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A numerical verification method for a periodic solution of a delay differential equation

✍ Scribed by Teruya Minamoto; Mitsuhiro T. Nakao

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
410 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

We describe a numerical method with guaranteed accuracy to enclose a periodic solution for a system of delay differential equations. Using a certain system of equations corresponding to the original system, we derive sufficient conditions for the existence of the solution, the satisfaction of which can be verified computationally. We describe the verification procedure in detail and give a numerical example.

πŸ“œ SIMILAR VOLUMES

Periodic Solution of a Periodic Neutral
Periodic Solution of a Periodic Neutral Delay Equation
✍ Li Yong Kun πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 173 KB

Sufficient conditions are obtained for the existence of a positive periodic Λ™n Ε½ . Ε½ .w Ε½ . Ε½ . solution of the periodic neutral delay equation N t s N t a t y Ý b t js1 j n Ε½ . Ε½ . Ε½ . x N t y y Ý c t N t y , which arise in a ''food-limited'' population model. j j s 1 j j