Global linearized stability theory for delay differential equations

Leonid Berezansky; Elena Braverman

doi:10.1016/j.na.2009.01.147

Global linearized stability theory for delay differential equations

Leonid Berezansky, Elena Braverman

Department of Mathematics

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

17 Scopus citations

Abstract

For nonlinear delay differential equations where nonlinearities are approximated by linear functions, we discuss a rather general global stability principle. Several examples which extend and improve known global stability results are presented.

Original language	English
Pages (from-to)	2614-2624
Number of pages	11
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	71
Issue number	7-8
DOIs	https://doi.org/10.1016/j.na.2009.01.147
State	Published - 1 Oct 2009

Keywords

Global stability
Linearized theory
Nonlinear delay equations

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.na.2009.01.147

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@article{cd67193709f74e4a8ee2f090c3d5ae5c,

title = "Global linearized stability theory for delay differential equations",

abstract = "For nonlinear delay differential equations where nonlinearities are approximated by linear functions, we discuss a rather general global stability principle. Several examples which extend and improve known global stability results are presented.",

keywords = "Global stability, Linearized theory, Nonlinear delay equations",

author = "Leonid Berezansky and Elena Braverman",

note = "Funding Information: The first author was partially supported by the Israeli Ministry of Absorption and the second author was partially supported by the NSERC Research Grant. ",

year = "2009",

month = oct,

day = "1",

doi = "10.1016/j.na.2009.01.147",

language = "English",

volume = "71",

pages = "2614--2624",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Ltd.",

number = "7-8",

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TY - JOUR

T1 - Global linearized stability theory for delay differential equations

AU - Berezansky, Leonid

AU - Braverman, Elena

N1 - Funding Information: The first author was partially supported by the Israeli Ministry of Absorption and the second author was partially supported by the NSERC Research Grant.

PY - 2009/10/1

Y1 - 2009/10/1

N2 - For nonlinear delay differential equations where nonlinearities are approximated by linear functions, we discuss a rather general global stability principle. Several examples which extend and improve known global stability results are presented.

AB - For nonlinear delay differential equations where nonlinearities are approximated by linear functions, we discuss a rather general global stability principle. Several examples which extend and improve known global stability results are presented.

KW - Global stability

KW - Linearized theory

KW - Nonlinear delay equations

UR - https://www.scopus.com/pages/publications/67349285824

U2 - 10.1016/j.na.2009.01.147

DO - 10.1016/j.na.2009.01.147

M3 - Article

AN - SCOPUS:67349285824

SN - 0362-546X

VL - 71

SP - 2614

EP - 2624

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 7-8

ER -

Global linearized stability theory for delay differential equations

Abstract

Keywords

ASJC Scopus subject areas

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