Hyers-Ulam stability theorems for Pexider equations in the space of Schwartz distributions

详细信息    查看全文

• 作者：Jaeyoung Chung
• 关键词：Mathematics Subject Classification (1991). 39B82 ; 46F12
• 刊名：Archiv der Mathematik
• 出版年：2005
• 出版时间：June 2005
• 年：2005
• 卷：84
• 期：6
• 页码：527-537
• 全文大小：104 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Birkh盲user Basel
• ISSN：1420-8938

文摘

Making use of the fundamental solution of the heat equation we prove stabilities of the Pexider equation and the Pexider-exponential equation in spaces of generalized functions such as the Schwartz tempered distributions, Fourier hyperfunctions and Gelfand-Shilov generalized functions.