Preservation of exponential stability for equations with several delays

Leonid Berezansky; Elena Braverman

doi:10.21136/mb.2011.141576

Preservation of exponential stability for equations with several delays

Leonid Berezansky
, Elena Braverman

Department of Mathematics

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

1 Scopus citations

Abstract

We consider preservation of exponential stability for the scalar nonoscillatory linear equation with several delays under the addition of new terms and a delay perturbation. We assume that the original equation has a positive fundamental function; our method is based on Bohl-Perron type theorems. Explicit stability conditions are obtained.

Original language	English
Pages (from-to)	135-144
Number of pages	10
Journal	Mathematica Bohemica
Volume	136
Issue number	2
DOIs	https://doi.org/10.21136/mb.2011.141576
State	Published - 1 Jan 2011

Keywords

Explicit stability condition
Exponential stability
Nonoscillation
Perturbation

ASJC Scopus subject areas

General Mathematics

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10.21136/mb.2011.141576

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title = "Preservation of exponential stability for equations with several delays",

abstract = "We consider preservation of exponential stability for the scalar nonoscillatory linear equation with several delays under the addition of new terms and a delay perturbation. We assume that the original equation has a positive fundamental function; our method is based on Bohl-Perron type theorems. Explicit stability conditions are obtained.",

keywords = "Explicit stability condition, Exponential stability, Nonoscillation, Perturbation",

author = "Leonid Berezansky and Elena Braverman",

year = "2011",

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AU - Berezansky, Leonid

AU - Braverman, Elena

PY - 2011/1/1

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N2 - We consider preservation of exponential stability for the scalar nonoscillatory linear equation with several delays under the addition of new terms and a delay perturbation. We assume that the original equation has a positive fundamental function; our method is based on Bohl-Perron type theorems. Explicit stability conditions are obtained.

AB - We consider preservation of exponential stability for the scalar nonoscillatory linear equation with several delays under the addition of new terms and a delay perturbation. We assume that the original equation has a positive fundamental function; our method is based on Bohl-Perron type theorems. Explicit stability conditions are obtained.

KW - Explicit stability condition

KW - Exponential stability

KW - Nonoscillation

KW - Perturbation

UR - https://www.scopus.com/pages/publications/79959287907

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DO - 10.21136/mb.2011.141576

M3 - Article

AN - SCOPUS:79959287907

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JO - Mathematica Bohemica

JF - Mathematica Bohemica

IS - 2

ER -

Preservation of exponential stability for equations with several delays

Abstract

Keywords

ASJC Scopus subject areas

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