Nonoscillation and exponential stability of the second order delay differential equation with damping

Leonid Berezansky; Alexander Domoshnitsky; Mikhail Gitman; Valery Stolbov

doi:10.1515/ms-2017-0024

Nonoscillation and exponential stability of the second order delay differential equation with damping

Leonid Berezansky, Alexander Domoshnitsky, Mikhail Gitman, Valery Stolbov

Department of Mathematics

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

1 Scopus citations

Abstract

For a delay differential equation ẍ(t)+a(t)ẋ(t)+∑k=1mbk(t)x(gk(t))=0,gk(t)≤t, a generalized Riccati inequality is constructed for nonoscillation and exponential stability of the differential equation.

Original language	English
Pages (from-to)	957-966
Number of pages	10
Journal	Mathematica Slovaca
Volume	67
Issue number	4
DOIs	https://doi.org/10.1515/ms-2017-0024
State	Published - 28 Aug 2017

Keywords

damping term
exponential stability
nonoscillation
second order delay equation

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10.1515/ms-2017-0024

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abstract = "For a delay differential equation ẍ(t)+a(t)ẋ(t)+∑k=1mbk(t)x(gk(t))=0,gk(t)≤t, a generalized Riccati inequality is constructed for nonoscillation and exponential stability of the differential equation.",

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AB - For a delay differential equation ẍ(t)+a(t)ẋ(t)+∑k=1mbk(t)x(gk(t))=0,gk(t)≤t, a generalized Riccati inequality is constructed for nonoscillation and exponential stability of the differential equation.

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Nonoscillation and exponential stability of the second order delay differential equation with damping

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Keywords

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