About maximum principles for one of the components of solution vector and stability for systems of linear delay differential equations

A. Domoshnitsky

About maximum principles for one of the components of solution vector and stability for systems of linear delay differential equations

A. Domoshnitsky

Department of Mathematics

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

4 Scopus citations

Abstract

In this paper we define and discuss maximum principles for systems of delay differential equations. Assertions on differential inequalities for one of the components of solution vector are proven. On this basis new exponential stability results are obtained. In contrast with other results of this sort we do not assume the dominance of the main diagonal in order to get the exponential stability. Various tests of the exponential stability are proposed.

Original language	English
Pages (from-to)	373-380
Number of pages	8
Journal	Discrete and Continuous Dynamical Systems- Series A
Issue number	SUPPL.
State	Published - Sep 2011

Keywords

Cauchy matrices
Exponential stability
Maximum principles
Positivity of Cauchy matrices

Cite this

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title = "About maximum principles for one of the components of solution vector and stability for systems of linear delay differential equations",

abstract = "In this paper we define and discuss maximum principles for systems of delay differential equations. Assertions on differential inequalities for one of the components of solution vector are proven. On this basis new exponential stability results are obtained. In contrast with other results of this sort we do not assume the dominance of the main diagonal in order to get the exponential stability. Various tests of the exponential stability are proposed.",

keywords = "Cauchy matrices, Exponential stability, Maximum principles, Positivity of Cauchy matrices",

author = "A. Domoshnitsky",

year = "2011",

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language = "אנגלית",

pages = "373--380",

journal = "Discrete and Continuous Dynamical Systems- Series A",

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publisher = "American Institute of Mathematical Sciences",

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AB - In this paper we define and discuss maximum principles for systems of delay differential equations. Assertions on differential inequalities for one of the components of solution vector are proven. On this basis new exponential stability results are obtained. In contrast with other results of this sort we do not assume the dominance of the main diagonal in order to get the exponential stability. Various tests of the exponential stability are proposed.

KW - Cauchy matrices

KW - Exponential stability

KW - Maximum principles

KW - Positivity of Cauchy matrices

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JO - Discrete and Continuous Dynamical Systems- Series A

JF - Discrete and Continuous Dynamical Systems- Series A

IS - SUPPL.

ER -

About maximum principles for one of the components of solution vector and stability for systems of linear delay differential equations

Abstract

Keywords

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