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线性微分方程y″-λ^2y=f（x）的Hyers-Ulam稳定性
  • ISSN号：1001-8735
  • 期刊名称：《内蒙古师范大学学报：自然科学汉文版》
  • 时间：0
  • 分类：O177.2[理学—数学;理学—基础数学]
  • 作者机构：[1]广州松田职业学院,广东广州511370, [2]中山大学数学系,广东广州510275
  • 相关基金：国家自然科学基金资助项目（10871213）
作者： 华柳斌[1], 黎永锦[2]
关键词： HYERS-ULAM稳定性, 微分方程, 函数方程, Hyers-Ulam stability, differential equation, functional equation
中文摘要：

Hyers-Ulam稳定性是Banach空间和Quasi-Banach空间中函数方程的重要性质.研究二阶线性微分方程的Hyers-Ulam稳定性,证明了线性微分方程y″-λ2y=f（x）具有Hyers-Ulam稳定性.

英文摘要：

The Hyers-Ulam stability is the important property of functional equations in Banach spaces and Quasi-Banach spaces.The Hyers-Ulam stability of second order linear differential equations was studied and it is proved that differential equation y″-λ2y=f（x） has Hyers-Ulam stability.

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期刊信息
  • 《内蒙古师范大学学报：自然科学汉文版》
  • 北大核心期刊（2011版）
  • 主管单位:内蒙古自治区教育厅
  • 主办单位:内蒙古师范大学
  • 主编：陈汉忠
  • 地址：呼和浩特市赛罕区昭乌达路81号
  • 邮编：010022
  • 邮箱：nmsb@imnu.edu.cn
  • 电话：0471-4393042
  • 国际标准刊号：ISSN：1001-8735
  • 国内统一刊号：ISSN：15-1049/N
  • 邮发代号:16-77
  • 获奖情况:
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  • 被引量:4138