AN APPLICATION OF EL-ZAKI TRANSFORM TO VARIOUS TYPES OF ULAM STABILITY OF LINEAR DIFFERENTIAL EQUATIONS

Ramdoss Murali, Arumugam Ponmana Selvan, Siriluk Donganont, Choonkil Park

Abstract


In this paper, we investigate the Hyers-Ulam stability, generalized Hyers-Ulam stability, Mittag-Leffler-Hyers-Ulam stability and generalized Mittag-Leffler-Hyers-Ulam stability of general linear differential equations of first order with constant coefficients by usingEl-Zaki transform method. Moreover, the Hyers-Ulam stability constants of these differential equations are obtained. Some examples are given to illustrate our main results.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)

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