Nonoscillation and exponential stability of the second order delay differential equation with damping

Leonid Berezansky; Alexander Domoshnitsky; Mikhail Gitman; Valery Stolbov

doi:10.1515/ms-2017-0024

Nonoscillation and exponential stability of the second order delay differential equation with damping

Leonid Berezansky
, Alexander Domoshnitsky
, Mikhail Gitman
, Valery Stolbov

מתמטיקה

פרסום מחקרי: פרסום בכתב עת › מאמר › ביקורת עמיתים

1 ציטוט ‏(Scopus)

תקציר

For a delay differential equation ẍ(t)+a(t)ẋ(t)+∑k=1mbk(t)x(gk(t))=0,gk(t)≤t, a generalized Riccati inequality is constructed for nonoscillation and exponential stability of the differential equation.

שפה מקורית	אנגלית
עמודים (מ-עד)	957-966
מספר עמודים	10
כתב עת	Mathematica Slovaca
כרך	67
מספר גיליון	4
מזהי עצם דיגיטלי (DOIs)	https://doi.org/10.1515/ms-2017-0024
סטטוס פרסום	פורסם - 28 אוג׳ 2017

גישה למסמך

10.1515/ms-2017-0024

קבצים וקישורים אחרים

Link to publication in Scopus

פורמט ציטוט ביבליוגרפי

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title = "Nonoscillation and exponential stability of the second order delay differential equation with damping",

abstract = "For a delay differential equation ẍ(t)+a(t)ẋ(t)+∑k=1mbk(t)x(gk(t))=0,gk(t)≤t, a generalized Riccati inequality is constructed for nonoscillation and exponential stability of the differential equation.",

keywords = "damping term, exponential stability, nonoscillation, second order delay equation",

author = "Leonid Berezansky and Alexander Domoshnitsky and Mikhail Gitman and Valery Stolbov",

note = "Publisher Copyright: {\textcopyright} 2017 Mathematical Institute Slovak Academy of Sciences.",

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doi = "10.1515/ms-2017-0024",

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T1 - Nonoscillation and exponential stability of the second order delay differential equation with damping

AU - Berezansky, Leonid

AU - Domoshnitsky, Alexander

AU - Gitman, Mikhail

AU - Stolbov, Valery

PY - 2017/8/28

Y1 - 2017/8/28

N2 - For a delay differential equation ẍ(t)+a(t)ẋ(t)+∑k=1mbk(t)x(gk(t))=0,gk(t)≤t, a generalized Riccati inequality is constructed for nonoscillation and exponential stability of the differential equation.

AB - For a delay differential equation ẍ(t)+a(t)ẋ(t)+∑k=1mbk(t)x(gk(t))=0,gk(t)≤t, a generalized Riccati inequality is constructed for nonoscillation and exponential stability of the differential equation.

KW - damping term

KW - exponential stability

KW - nonoscillation

KW - second order delay equation

UR - https://www.scopus.com/pages/publications/85026652503

U2 - 10.1515/ms-2017-0024

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JO - Mathematica Slovaca

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IS - 4

ER -

Nonoscillation and exponential stability of the second order delay differential equation with damping

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