Periodic solutions of a delayed, periodic logistic equation
type: Item
instance of: scholarly article
title: Periodic solutions of a delayed, periodic logistic equation
zbMATH Open document ID: 1118.34327
DOI: 10.1016/S0893-9659(03)90093-0
author: Yuming Chen
published in: Applied Mathematics Letters
publication date: 2004-06-11T00:00:00Z
review text: Consider the delay differential equation \[ {dN(t)\over dt}= N(t)[a(t)- b(t) N^p(t-\sigma(t))- c(t) N^q(t-\tau(t))],\tag{\(*\)} \] where \(a\), \(b\), \(c\), \(\tau\) are continuous \(\omega\)-periodic functions, \(p\) and \(q\) are positive constants. The author establishes the existence of a positive \(\omega\)-periodic solution of \((*)\) by using Mawhin's continuation theorem.
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 2073812
zbMATH Keywords: Positive periodic solution
zbMATH Keywords: Delayed logistic equation
zbMATH Keywords: Coincidence degree
reviewed by: Klaus R. Schneider
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2073812