Oscillation Properties of a Logistic Equation with Several Delays

Leonid Berezansky; Elena Braverman

doi:10.1006/jmaa.2000.6830

Oscillation Properties of a Logistic Equation with Several Delays

Leonid Berezansky, Elena Braverman

Department of Mathematics

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

9 Scopus citations

Abstract

For a scalar delay logistic equationẏt=yt∑k=1mr_kt1-yh_ktK,h_kt≤t,the oscillation properties are established, which are well known for a linear delay differential equation, such as comparison theorems, explicit nonoscillation and oscillation conditions, dependence of the solution sign on the initial function and the initial value.

Original language	English
Pages (from-to)	110-125
Number of pages	16
Journal	Journal of Mathematical Analysis and Applications
Volume	247
Issue number	1
DOIs	https://doi.org/10.1006/jmaa.2000.6830
State	Published - 1 Jul 2000

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1006/jmaa.2000.6830

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title = "Oscillation Properties of a Logistic Equation with Several Delays",

abstract = "For a scalar delay logistic equationẏt=yt∑k=1mrkt1-yhktK,hkt≤t,the oscillation properties are established, which are well known for a linear delay differential equation, such as comparison theorems, explicit nonoscillation and oscillation conditions, dependence of the solution sign on the initial function and the initial value.",

author = "Leonid Berezansky and Elena Braverman",

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AU - Braverman, Elena

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N2 - For a scalar delay logistic equationẏt=yt∑k=1mrkt1-yhktK,hkt≤t,the oscillation properties are established, which are well known for a linear delay differential equation, such as comparison theorems, explicit nonoscillation and oscillation conditions, dependence of the solution sign on the initial function and the initial value.

AB - For a scalar delay logistic equationẏt=yt∑k=1mrkt1-yhktK,hkt≤t,the oscillation properties are established, which are well known for a linear delay differential equation, such as comparison theorems, explicit nonoscillation and oscillation conditions, dependence of the solution sign on the initial function and the initial value.

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DO - 10.1006/jmaa.2000.6830

M3 - Article

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EP - 125

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Oscillation Properties of a Logistic Equation with Several Delays

Abstract

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