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AN APPLICATION OF EL-ZAKI TRANSFORM TO VARIOUS TYPES OF ULAM STABILITY OF LINEAR DIFFERENTIAL EQUATIONS
- Issue Date
- Jun-2025
- Publisher
- Kyungnam University Press
- Keywords
- Hyers-Ulam stability; linear differential equation; El-Zaki transform.
- Citation
- Nonlinear Functional Analysis and Applications, v.30, no.2, pp 447 - 464
- Pages
- 18
- Indexed
- SCOPUS
KCI
- Journal Title
- Nonlinear Functional Analysis and Applications
- Volume
- 30
- Number
- 2
- Start Page
- 447
- End Page
- 464
- ISSN
- 1229-1595
2466-0973
- 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 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.
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