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ON THE STABILITY OF BESSEL DIFFERENTIAL EQUATIONopen access
- Authors
- Jung, S.-M.; Simões, A.M.; Ponmana, Selvan A.; Roh, J.
- Issue Date
- 1-Jan-2022
- Publisher
- Wilmington Scientific Publisher
- Keywords
- Bessel differential equation; Hyers-Ulam stability; Perturbation
- Citation
- Journal of Applied Analysis and Computation, v.12, no.5, pp 2014 - 2023
- Pages
- 10
- Journal Title
- Journal of Applied Analysis and Computation
- Volume
- 12
- Number
- 5
- Start Page
- 2014
- End Page
- 2023
- ISSN
- 2156-907X
2158-5644
- Abstract
- Using power series method, Kim and Jung (2007) investigated the Hyers-Ulam stability of the Bessel differential equation, x2y′′ (x)+xy′ (x)+(x2− α2)y(x) = 0, of order non-integral number α > 0. Also Bicer and Tunc (2017) obtained new sufficient conditions guaranteeing the Hyers-Ulam stability of Bessel differential equation of order zero. In this paper, by classical integral method we will investigate the stability of Bessel differential equations of a more generalized order than previous papers. Also, we will consider a more generalized domain (0, a) for any positive real number a while Kim and Jung (2007) restricted the domain near zero. © 2022, Wilmington Scientific Publisher. All rights reserved.
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