Autor:	Anderson, Douglas R., Onitsuka, Masakazu
Rok vydání:	2020
Předmět:	Mathematics - Classical Analysis and ODEs 39A06 39A13 39A30 34N05
Druh dokumentu:	Working Paper
Popis:	We introduce and study the Hyers--Ulam stability (HUS) of a Cayley quantum ($q$-difference) equation of first order, where the constant coefficient is allowed to range over the complex numbers. In particular, if this coefficient is non-zero, then the quantum equation has Hyers--Ulam stability for certain values of the Cayley parameter, and we establish the best (minimal) HUS constant in terms of the coefficient only, independent of $q$ and the Cayley parameter. If the Cayley parameter equals one half, then there is no Hyers--Ulam stability for any coefficient value in the complex plane. Comment: 13 pages, preprint
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2005.05122 Zobrazit plný text záznamu View this record from Arxiv