Almost periodic solutions for logistic equations with infinite delay
โ Scribed by Hong-Xu Li
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 166 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
โฆ Synopsis
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.
๐ SIMILAR VOLUMES
A new criterion is established for the existence of positive periodic solutions to the following delay logistic equation: where r (t), a(t), b(t) are periodic continuous functions, a(t) > 0, b(t) โฅ 0 and r (t) has positive average.
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 the
determined by the initial function is a condensing operator with respect to Kuratowski's measure of non-compactness in a phase space C , and then derive g periodic solutions from bounded solutions by using Sadovskii's fixed point theorem. This extends the study of deriving periodic solutions from bo