In this paper we investigate the generalized Hyers᎐Ulam᎐Rassias stability of an n-dimensional quadratic functional equation,
Stability of an Euler–Lagrange–Rassias equation in the spaces of generalized functions
✍ Scribed by Young-Su Lee; Soon-Yeong Chung
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 210 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0893-9659
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✦ Synopsis
Making use of the fundamental solution of the heat equation we reformulate and prove the stability theorem of a special case of the Euler-Lagrange-Rassias functional equation in the spaces of tempered distributions and Fourier hyperfunctions.
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