Fourier Transformation and Stability of a Differential Equation on L1â„

Hamid Rezaei, Zahra Zafarasa, Lotfollah Karimi and Theodore E. Simos

International Journal of Mathematics and Mathematical Sciences, 2021, vol. 2021, 1-7

Abstract: In the present paper, by the Fourier transform, we show that every linear differential equation with constant coefficients of n-th order has a solution in L1℠which is infinitely differentiable in ℠∖0. Moreover the Hyers–Ulam stability of such equations on L1℠is investigated.

Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/ijmms/2021/5524430.pdf (application/pdf)
http://downloads.hindawi.com/journals/ijmms/2021/5524430.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:5524430

DOI: 10.1155/2021/5524430

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().