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 .