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

מתמטיקה

פרסום מחקרי: פרסום בכתב עת › מאמר › ביקורת עמיתים

3 ציטוטים ‏(Scopus)

תקציר

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.

שפה מקורית	אנגלית
עמודים (מ-עד)	90-95
מספר עמודים	6
כתב עת	Applied Mathematics Letters
כרך	88
מזהי עצם דיגיטלי (DOIs)	https://doi.org/10.1016/j.aml.2018.08.006
סטטוס פרסום	פורסם - פבר׳ 2019

גישה למסמך

10.1016/j.aml.2018.08.006

קבצים וקישורים אחרים

Link to publication in Scopus

פורמט ציטוט ביבליוגרפי

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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",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Ltd",

year = "2019",

month = feb,

doi = "10.1016/j.aml.2018.08.006",

language = "אנגלית",

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AU - Berezansky, Leonid

AU - Domoshnitsky, Alexander

PY - 2019/2

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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.

KW - A priory estimation

KW - Bohl–Perron theorem

KW - Second order neutral delay differential equations

KW - Stability

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U2 - 10.1016/j.aml.2018.08.006

DO - 10.1016/j.aml.2018.08.006

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AN - SCOPUS:85052747473

SN - 0893-9659

VL - 88

SP - 90

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

On stability of the second order neutral differential equation

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