On oscillation of a logistic equation with several delays
type: Item
instance of: scholarly article
title: On oscillation of a logistic equation with several delays
zbMATH Open document ID: 0939.34063
DOI: 10.1016/S0377-0427(99)00260-5
published in: Journal of Computational and Applied Mathematics
publication date: 2000-07-10T00:00:00Z
review text: The scalar delay additive logistic equation \[ \dot y(t)= y(t) \sum^m_{k=1} r_k(t)\Biggl(1- {y(h_k(t)\over k}\Biggr)\tag{1} \] is considered with \(h_k(t)\leq t\), \(r_k(t)\geq 0\), \(k>0\). It is proved that the oscillation properties of (1) can be deduced from the corresponding properties of the linear equation \[ \dot x(t)+ \sum^m_{k=1} r_k(t) x(h_k(t))= 0. \] The fixed point theory is applied. Explicit nonoscillation and oscillation conditions are presented.
Mathematics Subject Classification ID: 34K11
zbMATH DE Number: 1398410
zbMATH Keywords: logistic equation
zbMATH Keywords: oscillation
zbMATH Keywords: delay equation
author: Leonid Berezansky
author: E. Braverman
reviewed by: Alexandra Rodkina
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1398410