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

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

doi:10.22771/nfaa.2025.30.02.09

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

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

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초록

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 using El-Zaki transform method. Moreover, the Hyers-Ulam stability constants of these differential equations are obtained. Some examples are given to illustrate our main results.

키워드

Hyers-Ulam stability; linear differential equation; El-Zaki transform.

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

저자: Murali, Ramdoss; Selvan, Arumugam Ponmana; Donganont, Siriluk; Park, Choonkil

DOI: 10.22771/nfaa.2025.30.02.09

발행일: 2025-06

저널명: Nonlinear Functional Analysis and Applications

권: 30

호: 2

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