Delay-Dependent Stability Conditions for Non-autonomous Functional Differential Equations with Several Delays in a Banach Space

Michael Gil'

doi:10.1515/msds-2020-0132

Delay-Dependent Stability Conditions for Non-autonomous Functional Differential Equations with Several Delays in a Banach Space

Michael Gil'

Department of Mathematics

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

2 Scopus citations

Abstract

Let Bj(t) (j = 1,..., m) and B(t, τ) (t ≥ 0, 0 ≤ τ ≤ 1) be bounded variable operators in a Banach space. We consider the equation (Formula presented) where hk(t) (t ≥ 0; k = 1,..., m) and h0(τ) are continuous nonnegative bounded functions. Explicit delay-dependent exponential stability conditions for that equation are established.

Original language	English
Pages (from-to)	168-179
Number of pages	12
Journal	Nonautonomous Dynamical Systems
Volume	8
Issue number	1
DOIs	https://doi.org/10.1515/msds-2020-0132
State	Published - 1 Jan 2021

Keywords

differential-delay equations in a Banach space
integro-differential equations
stability

ASJC Scopus subject areas

Analysis
Statistics and Probability
Numerical Analysis
Applied Mathematics

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abstract = "Let Bj(t) (j = 1,..., m) and B(t, τ) (t ≥ 0, 0 ≤ τ ≤ 1) be bounded variable operators in a Banach space. We consider the equation (Formula presented) where hk(t) (t ≥ 0; k = 1,..., m) and h0(τ) are continuous nonnegative bounded functions. Explicit delay-dependent exponential stability conditions for that equation are established.",

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AB - Let Bj(t) (j = 1,..., m) and B(t, τ) (t ≥ 0, 0 ≤ τ ≤ 1) be bounded variable operators in a Banach space. We consider the equation (Formula presented) where hk(t) (t ≥ 0; k = 1,..., m) and h0(τ) are continuous nonnegative bounded functions. Explicit delay-dependent exponential stability conditions for that equation are established.

KW - differential-delay equations in a Banach space

KW - integro-differential equations

KW - stability

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Delay-Dependent Stability Conditions for Non-autonomous Functional Differential Equations with Several Delays in a Banach Space

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Keywords

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