The Hyers–Ulam stability constants of first order linear differential operators
The Hyers–Ulam stability constants of first order linear differential operators
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DOI：
10.1016/j.jmaa.2003.12.044
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发表时间：
2004-08
影响因子：
1.3
通讯作者：
Sin-Ei Takahasi;Hiroyuki Takagi;T. Miura;S. Miyajima
中科院分区：
文献类型：
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作者：
Sin-Ei Takahasi;Hiroyuki Takagi;T. Miura;S. Miyajima
设X为复Banach空间，h为实直线R和Th上的复值连续函数，C1（R，X）→C（R，X）为Thu=u ' +hu定义的线性微分算子。我们完全确定了Th的Hyers-Ulam稳定常数。
Let X be a complex Banach space, h a complex-valued continuous function on the real line R and Th:C1( R ,X)→C( R ,X) the linear differential operator defined by Thu=u′+hu. We completely determine the Hyers–Ulam stability constant of Th.