Hyers–Ulam stability of linear differential operator with constant coefficients
Hyers–Ulam stability of linear differential operator with constant coefficients
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DOI：
10.1002/mana.200310088
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发表时间：
2003-09
影响因子：
1
通讯作者：
T. Miura;S. Miyajima;Sin-Ei Takahasi
中科院分区：
文献类型：
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作者：
T. Miura;S. Miyajima;Sin-Ei Takahasi
设P(z)为复数系数的n次多项式，并考虑n阶线性微分算子P(D)。我们证明了方程P(D)f = 0具有Hyers-Ulam稳定性，当且仅当方程P(z) = 0没有纯虚解。（©2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim）
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)