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On the Hyers-Ulam Stability of Linear Mappings

✍ Scribed by T.M. Rassias; P. Semrl

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
391 KB
Volume
173
Category
Article
ISSN
0022-247X

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📜 SIMILAR VOLUMES

Hyers–Ulam stability of linear different
Hyers–Ulam stability of linear differential operator with constant coefficients
✍ Takeshi Miura; Shizuo Miyajima; Sin–Ei Takahasi 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 132 KB

## Abstract Let __P__(__z__) be a polynomial of degree __n__ with complex coefficients and consider the __n__–th order linear differential operator __P__(__D__). We show that the equation __P__(__D__)__f__ = 0 has the Hyers–Ulam stability, if and only if the equation __P__(__z__) = 0 has no pure im