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Hyers–Ulam stability of linear differential equations of first order

✍ Scribed by Guangwa Wang; Mingru Zhou; Li Sun

Book ID
108052370
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
188 KB
Volume
21
Category
Article
ISSN
0893-9659

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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