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差分方程解的稳定性、有界性及概周期解的存在性
  • ISSN号：1003-3998
  • 期刊名称：数学物理学报
  • 时间：0
  • 页码：1422-1429
  • 语言：中文
  • 分类：O175.14[理学—数学;理学—基础数学]
  • 作者机构：[1]湖南科技大学数学系,湘潭411201
  • 相关基金：国家自然科学基金（10671021）、湖南科技大学博士基金（E50642）及中南大学博士后基金资助
  • 相关项目：概周期微分方程及一些相关问题
作者： 杨喜陶|
关键词： 差分方程, 稳定性, 有界性, 概周期, Liapunov泛函, Difference equation, Stability, Boundedness, Almost periodicity, Liapunov function
中文摘要：

作者通过Liapunov泛函建立了一类高维差分方程解一致稳定、一致渐近稳定及指数渐近稳定的充要条件.此外,作者还证明了解的一致渐近稳定性蕴含解的有界性,同时也给出了概周期差分方程存在概周期解的一个充分条件.

英文摘要：

By using Liapunov function, the author establishes sufficient and necessary conditions for the uniform stability, uniformly asymptotic stability and exponential stability of solutions for a high dimension difference equation. Moreover, the author also proves that the uniformly asymptotic stability implies the boundedness of solutions. A sufficient condition is given for the existence and uniformly asymptotic stability of almost periodic solutions for almost periodic difference equations.

同期刊论文项目
概周期微分方程及一些相关问题
期刊论文 32 著作 1
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期刊信息
  • 《数学物理学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院武汉物理与数学研究所
  • 主编：李邦河 陈贵强 朱熹平
  • 地址：湖北省武汉市武昌小洪山西路30号武汉71010信箱
  • 邮编：430071
  • 邮箱：actams@wipm.ac.cn
  • 电话：027-87199206
  • 国际标准刊号：ISSN：1003-3998
  • 国内统一刊号：ISSN：42-1226/O
  • 邮发代号:38-214
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:5382