On some constants for oscillation and stability of delay equations

Leonid Berezansky; Elena Braverman

doi:10.1090/S0002-9939-2011-10820-7

On some constants for oscillation and stability of delay equations

Leonid Berezansky, Elena Braverman

Department of Mathematics

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

17 Scopus citations

Abstract

We discuss the famous constants of 1/e, 1, 3/2 in necessary and/or sufficient oscillation and stability conditions for delay differential equations with one or more delays: including equations with oscillatory coefficients. Some counterexamples (which refer to necessary oscillation and stability conditions) are presented and open problems are stated.

Original language	English
Pages (from-to)	4017-4026
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	139
Issue number	11
DOIs	https://doi.org/10.1090/S0002-9939-2011-10820-7
State	Published - 1 Jan 2011

Keywords

Delay equations
Non-oscillation
Oscillation
Oscillatory coefficients
Stability

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-2011-10820-7

Cite this

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AB - We discuss the famous constants of 1/e, 1, 3/2 in necessary and/or sufficient oscillation and stability conditions for delay differential equations with one or more delays: including equations with oscillatory coefficients. Some counterexamples (which refer to necessary oscillation and stability conditions) are presented and open problems are stated.

KW - Delay equations

KW - Non-oscillation

KW - Oscillation

KW - Oscillatory coefficients

KW - Stability

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On some constants for oscillation and stability of delay equations

Abstract

Keywords

ASJC Scopus subject areas

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