On Oscillation of a Generalized Logistic Equation with Several Delays

Leonid Berezansky; Elena Braverman

doi:10.1006/jmaa.2000.7140

On Oscillation of a Generalized Logistic Equation with Several Delays

Leonid Berezansky
, Elena Braverman

Department of Mathematics

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

6 Scopus citations

Abstract

For a scalar delay generalized logistic equationẏt=∑k=1mr_ktyt1-yh_ktK1-yh_ktK^α_k-1explicit oscillation conditions are established for all the cases of parameters α_k, i.e., sublinear, superlinear, and also mixed ones. Coefficients r_k(t) and delays h_k(t) are not assumed to be continuous.

Original language	English
Pages (from-to)	389-405
Number of pages	17
Journal	Journal of Mathematical Analysis and Applications
Volume	253
Issue number	2
DOIs	https://doi.org/10.1006/jmaa.2000.7140
State	Published - 15 Jan 2001

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1006/jmaa.2000.7140

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

abstract = "For a scalar delay generalized logistic equationẏt=∑k=1mrktyt1-yhktK1-yhktKαk-1explicit oscillation conditions are established for all the cases of parameters αk, i.e., sublinear, superlinear, and also mixed ones. Coefficients rk(t) and delays hk(t) are not assumed to be continuous.",

author = "Leonid Berezansky and Elena Braverman",

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AU - Berezansky, Leonid

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N2 - For a scalar delay generalized logistic equationẏt=∑k=1mrktyt1-yhktK1-yhktKαk-1explicit oscillation conditions are established for all the cases of parameters αk, i.e., sublinear, superlinear, and also mixed ones. Coefficients rk(t) and delays hk(t) are not assumed to be continuous.

AB - For a scalar delay generalized logistic equationẏt=∑k=1mrktyt1-yhktK1-yhktKαk-1explicit oscillation conditions are established for all the cases of parameters αk, i.e., sublinear, superlinear, and also mixed ones. Coefficients rk(t) and delays hk(t) are not assumed to be continuous.

UR - https://www.scopus.com/pages/publications/0035863975

U2 - 10.1006/jmaa.2000.7140

DO - 10.1006/jmaa.2000.7140

M3 - Article

AN - SCOPUS:0035863975

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SP - 389

EP - 405

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

On Oscillation of a Generalized Logistic Equation with Several Delays

Abstract

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