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  • 标题:Ger-type and Hyers-Ulam stabilities for the first-order linear differential operators of entire functions
  • 本地全文:下载
  • 作者:Takeshi Miura ; Go Hirasawa ; Sin-Ei Takahasi
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:2004
  • 卷号:2004
  • 期号:22
  • 页码:1151-1158
  • DOI:10.1155/S0161171204304333
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Let h be an entire function and T h a differential operator defined by T h f = f ′ + h f . We show that T h has the Hyers-Ulam stability if and only if h is a nonzero constant. We also consider Ger-type stability problem for | 1 − f ′ / h f | ≤ ϵ .
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