期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 286, 期 1, 页码 136-146出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/S0022-247X(03)00458-X
关键词
exponential functions; Hyers-Ulam stability
Let X be a complex Banach space and h : R --> C a continuous function. Let T-h : C-1 (R, X) --> C(R, X) be the linear differential operator defined by T(h)u = u' + hu. We give a necessary and sufficient condition in order that the operator Th has the Hyers-Ulam stability. (C) 2003 Elsevier Inc. All rights reserved.
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