On oscillation of a logistic equation with several delays

Leonid Berezansky; Elena Braverman

doi:10.1016/S0377-0427(99)00260-5

On oscillation of a logistic equation with several delays

Leonid Berezansky, Elena Braverman

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

For a scalar delay logistic equation ẏ(t) = y(t) Σ_k=1^mr_k(t)(1 - y(h_k(t))/K), h_k(t)≤t, a connection between oscillating properties of this equation, the corresponding differential inequalities and the linear equation ẋ(t) + Σ_k=1^m r_k(t)x(h_k(t)) = 0, is established. Explicit nonoscillation and oscillation conditions are presented.

Original language	English
Pages (from-to)	255-265
Number of pages	11
Journal	Journal of Computational and Applied Mathematics
Volume	113
Issue number	1
DOIs	https://doi.org/10.1016/S0377-0427(99)00260-5
State	Published - 1 Jan 2000

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/S0377-0427(99)00260-5

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title = "On oscillation of a logistic equation with several delays",

abstract = "For a scalar delay logistic equation ẏ(t) = y(t) Σk=1mrk(t)(1 - y(hk(t))/K), hk(t)≤t, a connection between oscillating properties of this equation, the corresponding differential inequalities and the linear equation ẋ(t) + Σk=1m rk(t)x(hk(t)) = 0, is established. Explicit nonoscillation and oscillation conditions are presented.",

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T1 - On oscillation of a logistic equation with several delays

AU - Berezansky, Leonid

AU - Braverman, Elena

PY - 2000/1/1

Y1 - 2000/1/1

N2 - For a scalar delay logistic equation ẏ(t) = y(t) Σk=1mrk(t)(1 - y(hk(t))/K), hk(t)≤t, a connection between oscillating properties of this equation, the corresponding differential inequalities and the linear equation ẋ(t) + Σk=1m rk(t)x(hk(t)) = 0, is established. Explicit nonoscillation and oscillation conditions are presented.

AB - For a scalar delay logistic equation ẏ(t) = y(t) Σk=1mrk(t)(1 - y(hk(t))/K), hk(t)≤t, a connection between oscillating properties of this equation, the corresponding differential inequalities and the linear equation ẋ(t) + Σk=1m rk(t)x(hk(t)) = 0, is established. Explicit nonoscillation and oscillation conditions are presented.

UR - https://www.scopus.com/pages/publications/0000181461

U2 - 10.1016/S0377-0427(99)00260-5

DO - 10.1016/S0377-0427(99)00260-5

M3 - Article

AN - SCOPUS:0000181461

SN - 0377-0427

VL - 113

SP - 255

EP - 265

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1

ER -

On oscillation of a logistic equation with several delays

Abstract

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