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Hyers–Ulam stability of linear differential operator with constant coefficients |
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| Authors: | Takeshi Miura,Shizuo Miyajima,Sin&#x Ei Takahasi |
| Affiliation: | Takeshi Miura,Shizuo Miyajima,Sin–Ei Takahasi |
| 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 imaginary solution. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
| Keywords: | Hyers– Ulam stability n– th order linear differential operator exponential functions |
