Translation properties of time scales and almost periodic functions

被引：7

作者：

Guan, Yongjia ^{[1
]}

Wang, Ke ^{[1
,2
]}

机构：

[1] Harbin Inst Technol, Dept Math, Weihai 264209, Peoples R China

[2] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2013年 / 57卷 / 5-6期

关键词：

Time scales; Almost periodic function; Translation invariants; Primitive translation invariants; DYNAMIC EQUATIONS;

D O I：

10.1016/j.mcm.2012.10.018

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we study the structure of time scales under translations. We define several kinds of time scales such as the two-way translation invariant time scale and investigate their properties. Then we develop the almost periodic function theory on time scales, with examples given along the way. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：1165 / 1174

页数：10

共 50 条

[41] Almost periodic solution for a nabla BAM neural networks on time scales
1600, International Association of Engineers (25):
[42] Almost periodic solution for a population dynamic system on time scales with an application
Hu, Meng
INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2016, 6 (04) : 318 - 334
[43] Existence and exponential stability of almost-periodic delays on time scales
GAO Jin
WANG Qi-ru
LIN Yuan
AppliedMathematics:AJournalofChineseUniversities, 2021, 36 (01) : 70 - 82
[44] Almost periodic fuzzy multidimensional dynamic systems and applications on time scales
Wang, Chao
Agarwal, Ravi P.
O'Regan, Donal
CHAOS SOLITONS & FRACTALS, 2022, 156
[45] Almost periodic and asymptotically almost periodic functions: part I
Dhaou Lassoued
Rahim Shah
Tongxing Li
Advances in Difference Equations, 2018
[46] Almost periodic and asymptotically almost periodic functions: part I
Lassoued, Dhaou
Shah, Rahim
Li, Tongxing
ADVANCES IN DIFFERENCE EQUATIONS, 2018,
[47] LIAPUNOV FUNCTIONS AND ALMOST PERIODIC SOLUTIONS FOR ALMOST PERIODIC SYSTEMS
FINK, AM
SEIFERT, G
JOURNAL OF DIFFERENTIAL EQUATIONS, 1969, 5 (02) : 307 - &
[48] NORMAL FUNCTIONS AND ALMOST PERIODIC FUNCTIONS
GAVRILOV, VI
DOKLADY AKADEMII NAUK SSSR, 1978, 240 (04): : 768 - 770
[49] On the distribution functions of almost periodic functions
Hartman, P
van Kampen, ER
Wintner, A
AMERICAN JOURNAL OF MATHEMATICS, 1938, 60 : 491 - 500
[50] Periodic Solutions of Almost Linear Volterra Integro-dynamic Equations on Periodic Time Scales
Raffoul, Youssef N.
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2015, 58 (01): : 174 - 181

← 1 2 3 4 5 →