An Asymptotic Stability Criteria of Delay Differential Equations on Time Scals

被引：0

作者：

Ardabili, Jamal Saffar ^{[1
]}

Samian, Zahra Poursepahi ^{[1
]}

机构：

[1] Payame Noor Univ, Dept Math, Tehran, Iran

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2015年 / 15卷 / 02期

关键词：

Delay differential equations; Time scale; Asymptotic behavior; Stability;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let T be an arbitrary time scale that is unbounded above. In this paper, we will present some stability criteria for first order delay differential equations x(Delta)(t) = a(t)x(t) + b(t)x(tau(t)) using their asymptotic behavior.

引用

页码：137 / 145

页数：9

共 50 条

[31] Asymptotic properties of fractional delay differential equations
Krol, Katja
APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (05) : 1515 - 1532
[32] h-asymptotic stability by fixed point in neutral nonlinear differential equations with delay
Pinto, Manuel
Sepulveda, Daniel
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (12) : 3926 - 3933
[33] Periodic Solutions of Delay Differential Equations with a Small Parameter: Existence, Stability and Asymptotic Expansion
Chunhua Ou
Jianhong Wu
Journal of Dynamics and Differential Equations, 2004, 16 (3) : 605 - 628
[34] A two-parameter geometrical criteria for delay differential equations
Ma, Suqi
Feng, Zhaosheng
Lu, Qishao
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2008, 9 (02): : 397 - 413
[35] Positivity and stability of coupled differential-difference equations with time-varying delay on time scales
Xiao, Qiang
Zeng, Zhigang
Huang, Tingwen
Lewis, Frank L.
AUTOMATICA, 2021, 131
[36] Stability of ZakianIMN recursions for linear delay differential equations
Suchin Arunsawatwong
BIT Numerical Mathematics, 1998, 38 : 219 - 233
[37] ON THE ASYMPTOTIC BEHAVIOR OF HIGHLY NONLINEAR HYBRID STOCHASTIC DELAY DIFFERENTIAL EQUATIONS
Zhang, Tian
Chen, Huabin
Yuan, Chenggui
Caraballo, Tomas
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 24 (10): : 5355 - 5375
[38] Stability of uncertain delay differential equations
Wang, Xiao
Ning, Yufu
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 32 (03) : 2655 - 2664
[39] STABILITY WITH RESPECT TO INITIAL TIME DIFFERENCE FOR GENERALIZED DELAY DIFFERENTIAL EQUATIONS
Agarwal, Ravi
Hristova, Snezhana
O'Regan, Donal
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
[40] Stability of Solutions of Delay Differential Equations
Yskak T.
Siberian Advances in Mathematics, 2023, 33 (3) : 253 - 260

← 1 2 3 4 5 →