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一阶时滞概周期微分方程概周期解的存在性
  • ISSN号：0253-2395
  • 期刊名称：《山西大学学报：自然科学版》
  • 时间：0
  • 分类：O175.4[理学—数学;理学—基础数学]
  • 作者机构：[1]五邑大学数学与计算科学学院,广东江门529020, [2]广州大学数学与信息科学学院,广东广州510006
  • 相关基金：国家自然科学基金（10871053;11031002）
作者： 旷菊红[1,2]
关键词： 时滞概周期微分方程, Favard定理, 不动点定理, 指数二分性, delay almost periodic differential equation, Favard theorem, fixed point theorem, exponential dichotomy
中文摘要：

文章主要是研究一阶时滞概周期微分方程概周期解的存在性,首先将线性概周期微分方程的Favard定理推广到了带时滞的情形,得到了广义的Favard定理,然后利用不动点定理结合指数二分性,得到一阶概周期微分方程概周期解的存在性.

英文摘要：

The existence of almost periodic solution of first order delay almost periodic differential equations was studied.Firstly,we extend the Favard theorem of linear almost periodic differential equation to the case with delay,and obtain a generalized Favard theorem,and then we obtain the existence of almost periodic solution of first order almost periodic differential equation by using the fixed point theorem and the exponential dichotomy.

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期刊信息
  • 《山西大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:山西省教育厅
  • 主办单位:山西大学
  • 主编：杨斌盛
  • 地址：太原市坞城路92号
  • 邮编：030006
  • 邮箱：xbbjb@sxu.edu.cn
  • 电话：0351-7010455
  • 国际标准刊号：ISSN：0253-2395
  • 国内统一刊号：ISSN：14-1105/N
  • 邮发代号:22-42
  • 获奖情况:
  • 边疆七年获山西省一级期刊荣誉（1993-1999）
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,英国动物学记录,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）
  • 被引量:5651