Stability tests for second order linear and nonlinear delayed models

Leonid Berezansky; Elena Braverman; Lev Idels

doi:10.1007/s00030-015-0334-1

Stability tests for second order linear and nonlinear delayed models

Leonid Berezansky, Elena Braverman, Lev Idels

Department of Mathematics

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

6 Scopus citations

Abstract

For the nonlinear second order Lienard-type equations with time-varying delays (Formula presented.),global asymptotic stability conditions are obtained. The results are based on the new sufficient stability conditions for relevant linear equations and are applied to derive explicit stability conditions for the nonlinear Kaldor–Kalecki business cycle model. We also explore multistability of the sunflower non-autonomous equation and its modifications.

Original language	English
Pages (from-to)	1523-1543
Number of pages	21
Journal	Nonlinear Differential Equations and Applications
Volume	22
Issue number	6
DOIs	https://doi.org/10.1007/s00030-015-0334-1
State	Published - 1 Dec 2015

Keywords

34K12
34K20
34K25
34K45
92D25

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1007/s00030-015-0334-1

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abstract = "For the nonlinear second order Lienard-type equations with time-varying delays (Formula presented.),global asymptotic stability conditions are obtained. The results are based on the new sufficient stability conditions for relevant linear equations and are applied to derive explicit stability conditions for the nonlinear Kaldor–Kalecki business cycle model. We also explore multistability of the sunflower non-autonomous equation and its modifications.",

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T1 - Stability tests for second order linear and nonlinear delayed models

AU - Berezansky, Leonid

AU - Braverman, Elena

AU - Idels, Lev

PY - 2015/12/1

Y1 - 2015/12/1

N2 - For the nonlinear second order Lienard-type equations with time-varying delays (Formula presented.),global asymptotic stability conditions are obtained. The results are based on the new sufficient stability conditions for relevant linear equations and are applied to derive explicit stability conditions for the nonlinear Kaldor–Kalecki business cycle model. We also explore multistability of the sunflower non-autonomous equation and its modifications.

AB - For the nonlinear second order Lienard-type equations with time-varying delays (Formula presented.),global asymptotic stability conditions are obtained. The results are based on the new sufficient stability conditions for relevant linear equations and are applied to derive explicit stability conditions for the nonlinear Kaldor–Kalecki business cycle model. We also explore multistability of the sunflower non-autonomous equation and its modifications.

KW - 34K12

KW - 34K20

KW - 34K25

KW - 34K45

KW - 92D25

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M3 - Article

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IS - 6

ER -

Stability tests for second order linear and nonlinear delayed models

Abstract

Keywords

ASJC Scopus subject areas

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