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Constant coefficient differential operators with slowly spreading solutions

✍ Scribed by Kimimasa Nishiwada

Publisher
Springer
Year
1979
Tongue
English
Weight
803 KB
Volume
245
Category
Article
ISSN
0025-5831

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## 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