Exponential Stability of Linear Delay Impulsive Differential Equations

A. Anokhin; L. Berezansky; E. Braverman

doi:10.1006/jmaa.1995.1275

Exponential Stability of Linear Delay Impulsive Differential Equations

A. Anokhin, L. Berezansky, E. Braverman

Department of Mathematics

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

130 Scopus citations

Abstract

For an impulsive delay differential equation with bounded delay and bounded coefficients the following result is established. If each solution is bounded on [0, ∞), together with its derivative for each bounded right-hand side then the equation is exponentially stable. An explicit stability theorem is presented.

Original language	English
Pages (from-to)	923-941
Number of pages	19
Journal	Journal of Mathematical Analysis and Applications
Volume	193
Issue number	3
DOIs	https://doi.org/10.1006/jmaa.1995.1275
State	Published - 1 Aug 1995

ASJC Scopus subject areas

Analysis
Applied Mathematics

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title = "Exponential Stability of Linear Delay Impulsive Differential Equations",

abstract = "For an impulsive delay differential equation with bounded delay and bounded coefficients the following result is established. If each solution is bounded on [0, ∞), together with its derivative for each bounded right-hand side then the equation is exponentially stable. An explicit stability theorem is presented.",

author = "A. Anokhin and L. Berezansky and E. Braverman",

year = "1995",

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T1 - Exponential Stability of Linear Delay Impulsive Differential Equations

AU - Anokhin, A.

AU - Berezansky, L.

AU - Braverman, E.

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Y1 - 1995/8/1

N2 - For an impulsive delay differential equation with bounded delay and bounded coefficients the following result is established. If each solution is bounded on [0, ∞), together with its derivative for each bounded right-hand side then the equation is exponentially stable. An explicit stability theorem is presented.

AB - For an impulsive delay differential equation with bounded delay and bounded coefficients the following result is established. If each solution is bounded on [0, ∞), together with its derivative for each bounded right-hand side then the equation is exponentially stable. An explicit stability theorem is presented.

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U2 - 10.1006/jmaa.1995.1275

DO - 10.1006/jmaa.1995.1275

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AN - SCOPUS:0001532953

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

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Exponential Stability of Linear Delay Impulsive Differential Equations

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