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SUMUDU TRANSFORM AND THE STABILITY OF SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS

Authors
Baskaran, SanmugamMurali, RamdossPark, ChoonkilSelvan, Arumugam Ponmana
Issue Date
Sep-2024
Publisher
Element d.o.o.
Keywords
Hyers-Ulam-Rassias stability; linear differential equation; Mittag-Leffler-Hyers-Ulam-Rassias stability; Sumudu transform
Citation
Journal of Mathematical Inequalities, v.18, no.3, pp 847 - 864
Pages
18
Indexed
SCIE
SCOPUS
Journal Title
Journal of Mathematical Inequalities
Volume
18
Number
3
Start Page
847
End Page
864
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/197953
DOI
10.7153/jmi-2024-18-46
ISSN
1846-579X
Abstract
In this paper, we introduce a new integral transform, namely, Sumudu transform and we apply the transform to investigate the Hyers-Ulam stability, Hyers-Ulam-Rassias stability, Mittag-Leffler-Hyers-Ulam stability and Mittag-Leffler-Hyers-Ulam-Rassias stability of second order linear differential equations.
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