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Fourier Transformation and Stability of a Differential Equation on L1ℝ.
- Source :
-
International Journal of Mathematics & Mathematical Sciences . 7/15/2021, p1-7. 7p. - Publication Year :
- 2021
-
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 L 1 ℝ which is infinitely differentiable in ℝ ∖ 0 . Moreover the Hyers–Ulam stability of such equations on L 1 ℝ is investigated. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DIFFERENTIAL equations
*FOURIER transforms
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 01611712
- Database :
- Academic Search Index
- Journal :
- International Journal of Mathematics & Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 151428523
- Full Text :
- https://doi.org/10.1155/2021/5524430