SUMUDU TRANSFORM AND THE STABILITY OF SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS.

Authors :: BASKARAN, SANMUGAM
MURALI, RAMDOSS
CHOONKIL PARK
SELVAN, ARUMUGAM PONMANA
Source :: Journal of Mathematical Inequalities; Sep2024, Vol. 18 Issue 3, p847-864, 18p
Publication Year :: 2024
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. [ABSTRACT FROM AUTHOR]

Subjects :: LINEAR differential equations
INTEGRAL transforms
STABILITY theory
HOMOMORPHISMS
FUNCTIONAL equations

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