Well-posedness of heat and wave equations generated by Rubin’s q-difference operator in Sobolev spaces

dc.contributor.author	Shaimardan, Serikbol
dc.contributor.author	Persson, Lars-Erik
dc.contributor.author	Tokmagambetov, Niyaz
dc.date.accessioned	2024-12-13T08:45:17Z
dc.date.available	2024-12-13T08:45:17Z
dc.date.issued	2020
dc.identifier.issn	1501-7710
dc.identifier.other	doi.org/10.2298/FIL2317799S
dc.identifier.uri	http://rep.enu.kz/handle/enu/20218
dc.description.abstract	In this paper, we investigate difference-differential operators of parabolic and hyperbolic types. Namely, we consider non-homogenous heat and wave equations for Rubin’s difference operator. Wellposedness results are obtained in appropriate Sobolev type spaces. In particular, we prove that the heat and wave equations generated by Rubin’s difference operator have unique solutions. We even show that these solutions can be represented by explicit formulas.	ru
dc.language.iso	en	ru
dc.publisher	Faculty of Sciences and Mathematics	ru
dc.relation.ispartofseries	37:17 (2023), 5799–5812;
dc.title	Well-posedness of heat and wave equations generated by Rubin’s q-difference operator in Sobolev spaces	ru
dc.type	Article	ru