期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 473, 期 2, 页码 1432-1446出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2019.01.030
关键词
Hyers-Ulam stability; Linear differential equation; Periodic coefficient; Best constant
资金
- JSPS KAKENHI [JP17K14226]
This paper is concerned with Hyers-Ulam stability of the first-order homogeneous linear differential equation x' - a(t)x = 0 on R, where a : R -> R is a continuous periodic function. It is known that if a(t) = 0 then the above equation does not have Hyers-Ulam stability on R. However, sufficient conditions for Hyers-Ulam stability are presented in spite of a(t) has infinitely many zeros and changes sign. Furthermore, the best constant in Hyers-Ulam stability is clarified. To illustrate the obtained results, some examples are included. (C) 2019 The Author(s). Published by Elsevier Inc.
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