ON THE STABILITY OF BESSEL DIFFERENTIAL EQUATION

Soon-Mo Jung; A. M. Simões; A. Ponmana Selvan; Jaiok Roh

doi:10.11948/20210437

2022 Volume 12 Issue 5

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Soon-Mo Jung, A. M. Simões, A. Ponmana Selvan, Jaiok Roh. ON THE STABILITY OF BESSEL DIFFERENTIAL EQUATION[J]. Journal of Applied Analysis & Computation, 2022, 12(5): 2014-2023. doi: 10.11948/20210437

Citation:

Soon-Mo Jung, A. M. Simões, A. Ponmana Selvan, Jaiok Roh. ON THE STABILITY OF BESSEL DIFFERENTIAL EQUATION[J]. Journal of Applied Analysis & Computation, 2022, 12(5): 2014-2023. doi: 10.11948/20210437

ON THE STABILITY OF BESSEL DIFFERENTIAL EQUATION

1.
Mathematics Section, College of Science and Technology, Hongik University, 30016 Sejong, Republic of Korea
2.
Center of Mathematics and Applications, Department of Mathematics, University of Beira Interior, Covilhã, Portugal
3.
Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Portugal
4.
Department of Mathematics, Kings Engineering College, Irungattukottai, Sriperumbudur-602 117, Chennai, Tamil Nadu, India
5.
Ilsong College of Liberal Arts, Hallym University, Chuncheon 24252, Republic of Korea

Corresponding author: Email address: joroh@hallym.ac.kr(J. Roh)

Abstract

Abstract

Using power series method, Kim and Jung (2007) investigated the Hyers-Ulam stability of the Bessel differential equation, x² y''(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.
- Perturbation /
- Hyers-Ulam stability /
- Bessel differential equation
MSC: 34K20, 34K30, 34K05, 34B30, 39B82

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References

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