On stability of the second order neutral differential equation

Leonid Berezansky; Alexander Domoshnitsky

doi:10.1016/j.aml.2018.08.006

On stability of the second order neutral differential equation

Leonid Berezansky, Alexander Domoshnitsky

Department of Mathematics

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

2 Scopus citations

Abstract

There exist a well-developed stability theory for neutral differential equations of the first order and only a few results on functional differential equations of the second order. One of the aims of this paper is to fill this gap. Explicit tests for stability of linear neutral delay differential equations of the second order are obtained.

Original language	English
Pages (from-to)	90-95
Number of pages	6
Journal	Applied Mathematics Letters
Volume	88
DOIs	https://doi.org/10.1016/j.aml.2018.08.006
State	Published - 1 Feb 2019

Keywords

A priory estimation
Bohl–Perron theorem
Second order neutral delay differential equations
Stability

ASJC Scopus subject areas

Applied Mathematics

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10.1016/j.aml.2018.08.006

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title = "On stability of the second order neutral differential equation",

abstract = "There exist a well-developed stability theory for neutral differential equations of the first order and only a few results on functional differential equations of the second order. One of the aims of this paper is to fill this gap. Explicit tests for stability of linear neutral delay differential equations of the second order are obtained.",

keywords = "A priory estimation, Bohl–Perron theorem, Second order neutral delay differential equations, Stability",

author = "Leonid Berezansky and Alexander Domoshnitsky",

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AU - Domoshnitsky, Alexander

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N2 - There exist a well-developed stability theory for neutral differential equations of the first order and only a few results on functional differential equations of the second order. One of the aims of this paper is to fill this gap. Explicit tests for stability of linear neutral delay differential equations of the second order are obtained.

AB - There exist a well-developed stability theory for neutral differential equations of the first order and only a few results on functional differential equations of the second order. One of the aims of this paper is to fill this gap. Explicit tests for stability of linear neutral delay differential equations of the second order are obtained.

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KW - Bohl–Perron theorem

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KW - Stability

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VL - 88

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JO - Applied Mathematics Letters

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On stability of the second order neutral differential equation

Abstract

Keywords

ASJC Scopus subject areas

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