Ulam stability of linear differential equations using Fourier transform

Murali Ramdoss; Ponmana Selvan-Arumugam; Choonkil Park; Murali Ramdoss; Ponmana Selvan-Arumugam; Choonkil Park

doi:10.3934/math.2020052

AIMS Mathematics

2020, Volume 5, Issue 2: 766-780. doi: 10.3934/math.2020052

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Research article

Ulam stability of linear differential equations using Fourier transform

1.
PG and Research Department of Mathematics, Sacred Heart College, Tirupattur-635601, Vellore Dist., Tamil Nadu, India
2.
Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea

Received: 04 November 2019 Accepted: 15 December 2019 Published: 25 December 2019
MSC : 26D10, 34K20, 35B35, 39B82, 44A10

The purpose of this paper is to study the Hyers-Ulam stability and generalized Hyers-Ulam stability of general linear differential equations of $n$th order with constant coefficients by using the Fourier transform method. Moreover, the Hyers-Ulam stability constants are obtained for these differential equations.
- Hyers-Ulam stability,
- generalized Hyers-Ulam stability,
- nth order linear differential equation,
- Fourier transform method,
- Hyers-Ulam constant
Citation: Murali Ramdoss, Ponmana Selvan-Arumugam, Choonkil Park. Ulam stability of linear differential equations using Fourier transform[J]. AIMS Mathematics, 2020, 5(2): 766-780. doi: 10.3934/math.2020052

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Abstract

The purpose of this paper is to study the Hyers-Ulam stability and generalized Hyers-Ulam stability of general linear differential equations of $n$th order with constant coefficients by using the Fourier transform method. Moreover, the Hyers-Ulam stability constants are obtained for these differential equations.

References

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