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
Periodic solutions of a delayed, periodic logistic equation
โ Scribed by Yuming Chen
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 311 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
Consider the delayed periodic logistic equation,
which describes the evolution of a single species. The existence of a positive periodic solution is established by using the method of coincidence degree.
๐ SIMILAR VOLUMES
In this paper, we consider a discrete logistic equation where {r(n)} and {K(n)} are positive w-periodic sequences. Sufficient conditions are obtained for the existence of a positive and globally asymptotically stable w-periodic solution. Counterexamples are given to illustrate that the conclusions
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 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.