The paper is devoted to some results on the problem of S. M. Ulam for the stability of functional equations in Banach spaces. The problem was posed by Ulam 60 years ago.
Stability of functional equations in the spaces of distributions and hyperfunctions
โ Scribed by Jaeyoung Chung
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 187 KB
- Volume
- 286
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
Making use of the fundamental solution of the heat equation we prove the stability theorems of quadratic functional equation and d'Alembert equation in the spaces of Schwartz distributions and Sato hyperfunctions.
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