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文章基本信息

  • 标题:On the Superstability Related with the Trigonometric Functional Equation
  • 本地全文:下载
  • 作者:Gwang Hui Kim
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2009
  • 卷号:2009
  • DOI:10.1155/2009/503724
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    We will investigate the superstability of the (hyperbolic) trigonometric functional equation from the following functional equations: f ( x + y ) ± g ( x − y ) = λ f ( x ) g ( y ) , f ( x + y ) ± g ( x − y ) = λ g ( x ) f ( y ) , f ( x + y ) ± g ( x − y ) = λ f ( x ) f ( y ) , f ( x + y ) ± g ( x − y ) = λ g ( x ) g ( y ) , which can be considered the mixed functional equations of the sine function and cosine function, of the hyperbolic sine function and hyperbolic cosine function, and of the exponential functions, respectively.

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