Asymptotic behaviour of dynamic systems on time scales

被引：1

作者：

Ren, Guojing

Shi, Yuming ^{[1
]}

机构：

[1] Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Shandong, Peoples R China

[2] Shandong Econ Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2006年 / 12卷 / 12期

基金：

中国国家自然科学基金;

关键词：

time scales; perturbation; asymptotic behaviour; dichotomy condition; growth condition;

D O I：

10.1080/10236190600986933

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with asymptotic behaviour of solutions of perturbed dynamic systems on time scales. A time scale version of the Hartman-Wintner theorem is established for a class of time scales.

引用

页码：1289 / 1302

页数：14

共 50 条

[31] Asymptotic properties of third order functional dynamic equations on time scales
Kubiaczyk, I.
Saker, S. H.
ANNALES POLONICI MATHEMATICI, 2011, 100 (03) : 203 - 222
[32] Asymptotic Behaviour of Coupled Systems in Discrete and Continuous Time
Lassi Paunonen
David Seifert
Journal of Dynamics and Differential Equations, 2018, 30 : 433 - 445
[33] Asymptotic Behaviour of Coupled Systems in Discrete and Continuous Time
Paunonen, Lassi
Seifert, David
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2018, 30 (02) : 433 - 445
[34] Stability for time varying linear dynamic systems on time scales
DaCunha, JJ
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 176 (02) : 381 - 410
[35] Oscillation and Asymptotic Behavior for Perturbed Nonlinear Dynamic Equations with Damping on Time Scales
Zhangi, Zhongjun
Zhao, Xiaoqing
Yang, Jun
PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 823 - 830
[36] Asymptotic Behavior of Solutions of Higher-Order Dynamic Equations on Time Scales
Taixiang Sun
Hongjian Xi
Xiaofeng Peng
Advances in Difference Equations, 2011
[37] Asymptotic iteration technique for second-order dynamic equations on time scales
Misir, Adil
Ogrekci, Suleyman
JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (04)
[38] Asymptotic Behavior of Solutions of Higher-Order Dynamic Equations on Time Scales
Sun, Taixiang
Xi, Hongjian
Peng, Xiaofeng
ADVANCES IN DIFFERENCE EQUATIONS, 2011,
[39] Asymptotic Stability of a Class of Dynamic Equations on Time Scales with an Application to Logistic Model
Liu, Ailian
PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 1 - 7
[40] On asymptotic relationships between two higher order dynamic equations on time scales
Rehak, Pavel
APPLIED MATHEMATICS LETTERS, 2017, 73 : 84 - 90

← 1 2 3 4 5 →