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 16 条

[1] Dynamic equations on time scales: a survey
Agarwal, R
Bohner, M
O'Regan, D
Peterson, A
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 141 (1-2) : 1 - 26
[2] Time scale systems on infinite intervals
Agarwal, RP
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (02) : 837 - 848
[3] Partial differential equations on time scales
Ahlbrandt, CD
Morian, C
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 141 (1-2) : 35 - 55
[4] [Anonymous], J MATH SCI
[5] [Anonymous], 1989, APPL LEVINSON THEORE
[6] AULBACH B, 1990, NONLINEAR DYNAMICS Q
[7] Existence of three positive solutions to a second-order boundary value problem on a measure chain
Avery, RI
Anderson, DR
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 141 (1-2) : 65 - 73
[8] BENZAID Z, 1987, STUD APPL MATH, V77, P195
[9] Oscillation criteria for perturbed nonlinear dynamic equations
Bohner, M
Saker, SH
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2004, 40 (3-4) : 249 - 260
[10] Asymptotic behavior of dynamic equations on time scales
Bohner, M
Lutz, DA
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2001, 7 (01) : 21 - 50

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