Asymptotically Almost Periodic Solutions for a Class of Perturbed Systems with Piecewise Constant Argument

YAO Hui-li; ZHANG Na; XUE Han

doi:10.15938/j.jhust.2015.01.018

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Asymptotically Almost Periodic Solutions for a Class of Perturbed Systems with Piecewise Constant Argument

更新时间：2026-08-31

- Asymptotically Almost Periodic Solutions for a Class of Perturbed Systems with Piecewise Constant Argument
- Vol. 20, Issue 1, Pages: 89-094(2015)
- 作者机构：
  
  哈尔滨理工大学应用科学学院,黑龙江,哈尔滨,150080
- 作者简介：
- 基金信息：
- DOI：10.15938/j.jhust.2015.01.018
  CLC： 0177.5
- Published：2015
- 稿件说明：
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YAO Hui-li, ZHANG Na, XUE Han. Asymptotically Almost Periodic Solutions for a Class of Perturbed Systems with Piecewise Constant Argument[J]. 2015, 20(1): 89-094.
DOI：

YAO Hui-li, ZHANG Na, XUE Han. Asymptotically Almost Periodic Solutions for a Class of Perturbed Systems with Piecewise Constant Argument[J]. 2015, 20(1): 89-094. DOI： 10.15938/j.jhust.2015.01.018.

摘要

针对一类具有逐段常变量扰动系统的渐近概周期解的存在性问题进行了研究.具有逐段常变量的微分方程不仅是微分方程，它还具有差分方程的性质，是离散和连续的统一利用渐近概周期函数唯一分解性质，讨论了相关差分方程的渐近概周期序列解，得到了相关方程存在唯一有界渐近概周期解的条件，然后利用指数二分法及压缩映射原理讨论了所要研究的具有逐段常变量的扰动系统渐近概周期解的存在性及唯一性.

Abstract

EXlstenee Of asymptOtlG’ally almOSt per10(11G’ sOlutlons for a Glass Of perturbe(1 systems Wlth p1eG’eWlseG’Oristant argument is 1nVPStlgate(l. l}1ffP1’Pntlal equatlons Wlth p1eG’eWlse G’Oristant argument are not Only (hfferentlalequations，they also have the nature of the difference equations，dlserete an(1 G’Ontlnu0us unlty. Uslng unlque (1e-composition theorem of asymptotically almost periodic functions，XUE Han asymptotically almost periodic sequencesOlutlons Of relate(1 (1lfferenG’e equatlons are (11sG’usse(1 an(1 the G’On(htlons Of relate(1 equatlons Wlth Only bOUn(le(1 asymptotically almost periodic solution are obtained，then by using the exponential dichotomy and contraction mappingtheory，the eXlstenG’e an(1 unlqueness Of asymptOtlG’ally almOSt per10(11G’ sOlutlons Of the System is are (11sG’usse(l

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