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

Ben-Gurion University of the Negev, Ariel University

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

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	American 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 - 11 Aug 2011

Keywords

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

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Geometry and Topology

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10.1619/fesi.54.275

Cite this

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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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On nonoscillation of systems of delay equations

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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