On nonoscillation of systems of delay equations

L. Berezansky; E. Braverman; A. Domoshnitsky

doi:10.1619/fesi.54.275

On nonoscillation of systems of delay equations

L. Berezansky, E. Braverman, A. Domoshnitsky

Department of Mathematics

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

7 Scopus citations

Abstract

The paper investigates nonnegativity of all entries of the fundamental matrix for the system of linear delay differential equations in the case when the non-diagonal entries of matrices A_k are nonpositive. The results are applied to study nonoscillation of high order differential equations, as well as exponential stability for systems of delay equations.

Original language	English
Pages (from-to)	275-296
Number of pages	22
Journal	Funkcialaj Ekvacioj
Volume	54
Issue number	2
DOIs	https://doi.org/10.1619/fesi.54.275
State	Published - 2011

Keywords

Exponential stability
High order delay equations
Nonnegative fundamental matrix
Nonoscillation
Systems of delay equations

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10.1619/fesi.54.275

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title = "On nonoscillation of systems of delay equations",

abstract = "The paper investigates nonnegativity of all entries of the fundamental matrix for the system of linear delay differential equations in the case when the non-diagonal entries of matrices Ak are nonpositive. The results are applied to study nonoscillation of high order differential equations, as well as exponential stability for systems of delay equations.",

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

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AU - Braverman, E.

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AB - The paper investigates nonnegativity of all entries of the fundamental matrix for the system of linear delay differential equations in the case when the non-diagonal entries of matrices Ak are nonpositive. The results are applied to study nonoscillation of high order differential equations, as well as exponential stability for systems of delay equations.

KW - Exponential stability

KW - High order delay equations

KW - Nonnegative fundamental matrix

KW - Nonoscillation

KW - Systems of delay equations

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On nonoscillation of systems of delay equations

Abstract

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