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Problems of periodic solutions for a type of Duffing equation with state-dependent delay

✍ Scribed by Bo Du; Chuanzhi Bai; Xiangkui Zhao

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
416 KB
Volume
233
Category
Article
ISSN
0377-0427

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✦ Synopsis

Sufficient criteria are established for the existence of periodic solutions to a type of Duffing equation with state-dependent delay, which improve and generalize some related results in the literature. The approach is based on Mawhin's continuation theorem. The significance of the present paper is that our results are relevant to delay by Lemma 2.1, which is different from the corresponding results of past work.

πŸ“œ SIMILAR VOLUMES

Convergence of Solutions for an Equation
Convergence of Solutions for an Equation with State-Dependent Delay
✍ MΓ‘ria Bartha πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 189 KB

A result of Smith and Thieme shows that if a semiflow is strongly order preserving, then a typical orbit converges to the set of equilibria. For the equation Ε½ . Ε½ . Ε½ Ε½ Ε½ Ε½ .... with state-dependent delay x t s y x t q f x t y r x t , where ) 0 and f Λ™Ε½ . and r are smooth real functions with f 0 s

Novel existence and uniqueness criteria
Novel existence and uniqueness criteria for periodic solutions of a Duffing type p-Laplacian equation
✍ Yong Wang πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 331 KB

In this study, we investigate a Duffing type p-Laplacian equation. Some new criteria for guaranteeing the existence and uniqueness of periodic solutions of this equation are given by using the ManΓ‘sevich-Mawhin continuation theorem and some analysis techniques. Our results improve and extend some k