期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 328, 期 1, 页码 192-200出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2006.05.022
关键词
stability; functional equation; locally divisible group; metric group
Making use of a dynamical systems notion called shadowing, we prove a stability result for linear functional equations in metric groups. As a corollary we obtain stability of the quadratic functional equation in the case when the target space is a metric group satisfying some local 2-divisibility condition. (c) 2006 Elsevier Inc. All rights reserved.
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