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Ulam stability of linear di fferential equations using Fourier transformopen access

Authors
Ramdoss, MuraliSelvan-Arumugam, PonmanaPark, Choonkil
Issue Date
2020
Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
Keywords
Hyers-Ulam stability; generalized Hyers-Ulam stability; nth order linear di fferential equation; Fourier transform method; Hyers-Ulam constant
Citation
AIMS MATHEMATICS, v.5, no.2, pp.766 - 780
Indexed
SCIE
SCOPUS
Journal Title
AIMS MATHEMATICS
Volume
5
Number
2
Start Page
766
End Page
780
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/146502
DOI
10.3934/math.2020052
ISSN
2473-6988
Abstract
The purpose of this paper is to study the Hyers-Ulam stability and generalized Hyers-Ulam stability of general linear differential equations of nth order with constant coefficients by using the Fourier transform method. Moreover, the Hyers-Ulam stability constants are obtained for these differential equations.
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