Exponential stability of a second order delay differential equation without damping term

Leonid Berezansky; Alexander Domoshnitsky; Mikhail Gitman; Valery Stolbov

doi:10.1016/j.amc.2015.01.114

Exponential stability of a second order delay differential equation without damping term

Leonid Berezansky, Alexander Domoshnitsky, Mikhail Gitman, Valery Stolbov

Department of Mathematics

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

11 Scopus citations

Abstract

For the delay differential equation x(t) + a(t)x(h(t)) - b(t)x(g(t)) = 0, g(t) ≤ t, h(t) ≤ t, without damping term, explicit exponential stability conditions are obtained.

Original language	English
Article number	20754
Pages (from-to)	483-488
Number of pages	6
Journal	Applied Mathematics and Computation
Volume	258
DOIs	https://doi.org/10.1016/j.amc.2015.01.114
State	Published - 1 May 2015

Keywords

Exponential stability
Second order delay equations
Without damping

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10.1016/j.amc.2015.01.114

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title = "Exponential stability of a second order delay differential equation without damping term",

abstract = "For the delay differential equation x(t) + a(t)x(h(t)) - b(t)x(g(t)) = 0, g(t) ≤ t, h(t) ≤ t, without damping term, explicit exponential stability conditions are obtained.",

keywords = "Exponential stability, Second order delay equations, Without damping",

author = "Leonid Berezansky and Alexander Domoshnitsky and Mikhail Gitman and Valery Stolbov",

year = "2015",

month = may,

day = "1",

doi = "10.1016/j.amc.2015.01.114",

language = "אנגלית",

volume = "258",

pages = "483--488",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

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T1 - Exponential stability of a second order delay differential equation without damping term

AU - Berezansky, Leonid

AU - Domoshnitsky, Alexander

AU - Gitman, Mikhail

AU - Stolbov, Valery

PY - 2015/5/1

Y1 - 2015/5/1

N2 - For the delay differential equation x(t) + a(t)x(h(t)) - b(t)x(g(t)) = 0, g(t) ≤ t, h(t) ≤ t, without damping term, explicit exponential stability conditions are obtained.

AB - For the delay differential equation x(t) + a(t)x(h(t)) - b(t)x(g(t)) = 0, g(t) ≤ t, h(t) ≤ t, without damping term, explicit exponential stability conditions are obtained.

KW - Exponential stability

KW - Second order delay equations

KW - Without damping

UR - http://www.scopus.com/inward/record.url?scp=84923864468&partnerID=8YFLogxK

U2 - 10.1016/j.amc.2015.01.114

DO - 10.1016/j.amc.2015.01.114

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AN - SCOPUS:84923864468

SN - 0096-3003

VL - 258

SP - 483

EP - 488

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

M1 - 20754

ER -

Exponential stability of a second order delay differential equation without damping term

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