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

Department of Mathematics

نتاج البحث: نشر في مجلة › مقالة › مراجعة النظراء

1 اقتباس (Scopus)

ملخص

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.

اللغة الأصلية	الإنجليزيّة
الصفحات (من إلى)	957-966
عدد الصفحات	10
دورية	Mathematica Slovaca
مستوى الصوت	67
رقم الإصدار	4
المعرِّفات الرقمية للأشياء	https://doi.org/10.1515/ms-2017-0024
حالة النشر	نُشِر - 28 أغسطس 2017

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10.1515/ms-2017-0024

الملفات والروابط الأخرى

Link to publication in Scopus

قم بذكر هذا

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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.",

year = "2017",

month = aug,

day = "28",

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

language = "אנגלית",

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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

DO - 10.1515/ms-2017-0024

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AN - SCOPUS:85026652503

SN - 0139-9918

VL - 67

SP - 957

EP - 966

JO - Mathematica Slovaca

JF - Mathematica Slovaca

IS - 4

ER -

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

ملخص

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الملفات والروابط الأخرى

بصمة

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