In this paper, we will introduce a new multiplicative functional Eq. 1 and prove Ž . that the given equation is equivalent to the well known ''original'' one, f xy s Ž . Ž . Ž . f x f y . Moreover, we will investigate the stability problem of Eq. 1 in the sense of R. Ger.
The Stability of the Wigner Equation on a Restricted Domain
✍ Scribed by Jacek Chmieliński; Soon-Mo Jung
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 97 KB
- Volume
- 254
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
We prove the stability of the Wigner equation f x f y s x y with its < <² Ž .< Ž .:< <² < :< < Ž . approximate solutions defined by the inequality f x f y y x y F x, y which holds on a restricted domain and for a given, suitable function .
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