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 of logistic equations with time delay
β Scribed by Benedetta Lisena
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 154 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
β¦ Synopsis
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) β₯ 0 and r (t) has positive average.
π SIMILAR VOLUMES
By using a fixed point theorem of strict-set-contraction, some criteria are established for the existence of positive periodic solutions for a periodic neutral functional differential equation with impulses of the form
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