In this work, we present a theorem for existence and uniqueness of almost periodic solutions for logistic equations with infinite delay. Our result improves some recent results. Moreover, an open question raised by G. Seifert is answered completely.
Periodic solutions for general nonlinear state-dependent delay logistic equations
β Scribed by Zhihui Yang; Jinde Cao
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 173 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
In this paper, by using the continuation theorem of coincidence degree theory, we investigate the existence of periodic solutions for more general state-dependent delay logistic equations. Several sufficient conditions are given, and the obtained conditions possess important significance in both theories and applications.
π SIMILAR VOLUMES
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
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 ΛΕ½ . and r are smooth real functions with f 0 s