Instability for a class of second order delay differential equations

Leonid Berezansky; Alexander Domoshnitsky

doi:10.14232/ejqtde.2017.1.77

Instability for a class of second order delay differential equations

Leonid Berezansky, Alexander Domoshnitsky

Department of Mathematics

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

2 Scopus citations

Abstract

There exists a well-developed stability theory for many classes of functional-differential equations and only a few results on their instability. One of the aims of this paper is to fill this gap. Explicit tests for instability of linear delay differential equations of the second order with damping terms are obtained.

Original language	English
Pages (from-to)	1-14
Number of pages	14
Journal	Electronic Journal of Qualitative Theory of Differential Equations
Volume	2017
DOIs	https://doi.org/10.14232/ejqtde.2017.1.77
State	Published - 1 Jan 2017

Keywords

Damping terms
Instability
Second order delay differential equations

ASJC Scopus subject areas

Applied Mathematics

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10.14232/ejqtde.2017.1.77

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title = "Instability for a class of second order delay differential equations",

abstract = "There exists a well-developed stability theory for many classes of functional-differential equations and only a few results on their instability. One of the aims of this paper is to fill this gap. Explicit tests for instability of linear delay differential equations of the second order with damping terms are obtained.",

keywords = "Damping terms, Instability, Second order delay differential equations",

author = "Leonid Berezansky and Alexander Domoshnitsky",

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doi = "10.14232/ejqtde.2017.1.77",

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N2 - There exists a well-developed stability theory for many classes of functional-differential equations and only a few results on their instability. One of the aims of this paper is to fill this gap. Explicit tests for instability of linear delay differential equations of the second order with damping terms are obtained.

AB - There exists a well-developed stability theory for many classes of functional-differential equations and only a few results on their instability. One of the aims of this paper is to fill this gap. Explicit tests for instability of linear delay differential equations of the second order with damping terms are obtained.

KW - Damping terms

KW - Instability

KW - Second order delay differential equations

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JO - Electronic Journal of Qualitative Theory of Differential Equations

JF - Electronic Journal of Qualitative Theory of Differential Equations

ER -

Instability for a class of second order delay differential equations

Abstract

Keywords

ASJC Scopus subject areas

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