New stability conditions for linear differential equations with several delays

Elena Braverman; Leonid Berezansky

doi:10.1155/2011/178568

New stability conditions for linear differential equations with several delays

Elena Braverman, Leonid Berezansky

Department of Mathematics

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

21 Scopus citations

Abstract

New explicit conditions of asymptotic and exponential stability are obtained for the scalar nonautonomous linear delay differential equation ẋ (t)+ ∑_k=1^m a k (t)x(h k (t))=0 with measurable delays and coefficients. These results are compared to known stability tests.

Original language	English
Article number	178568
Journal	Abstract and Applied Analysis
Volume	2011
DOIs	https://doi.org/10.1155/2011/178568
State	Published - 16 Sep 2011

ASJC Scopus subject areas

Analysis
Applied Mathematics

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title = "New stability conditions for linear differential equations with several delays",

abstract = "New explicit conditions of asymptotic and exponential stability are obtained for the scalar nonautonomous linear delay differential equation ẋ (t)+ ∑k=1m a k (t)x(h k (t))=0 with measurable delays and coefficients. These results are compared to known stability tests.",

author = "Elena Braverman and Leonid Berezansky",

year = "2011",

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day = "16",

doi = "10.1155/2011/178568",

language = "English",

volume = "2011",

journal = "Abstract and Applied Analysis",

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AU - Braverman, Elena

AU - Berezansky, Leonid

PY - 2011/9/16

Y1 - 2011/9/16

N2 - New explicit conditions of asymptotic and exponential stability are obtained for the scalar nonautonomous linear delay differential equation ẋ (t)+ ∑k=1m a k (t)x(h k (t))=0 with measurable delays and coefficients. These results are compared to known stability tests.

AB - New explicit conditions of asymptotic and exponential stability are obtained for the scalar nonautonomous linear delay differential equation ẋ (t)+ ∑k=1m a k (t)x(h k (t))=0 with measurable delays and coefficients. These results are compared to known stability tests.

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U2 - 10.1155/2011/178568

DO - 10.1155/2011/178568

M3 - Article

AN - SCOPUS:80052677114

SN - 1085-3375

VL - 2011

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

M1 - 178568

ER -

New stability conditions for linear differential equations with several delays

Abstract

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