dc.contributor.author
Shaimardan, S.
dc.contributor.author
Persson, L.-E.
dc.contributor.author
Tokmagambetov, N.
dc.date.accessioned
2023-06-28T13:44:28Z
dc.date.accessioned
2024-09-19T14:25:18Z
dc.date.available
2023-06-28T13:44:28Z
dc.date.available
2024-09-19T14:25:18Z
dc.date.issued
2023-01-01
dc.identifier.uri
http://hdl.handle.net/2072/535766
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. Well-posedness 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. © 2023, University of Nis. All rights reserved.
eng
dc.description.sponsorship
Ministry of Education and Science of the Republic of Kazakhstan: AP08052208. This work also acknowledges the CERCA Programme of the Generalitat de Catalunya for institutional support. This work was also supported by the Spanish State Research Agency, through the Severo Ochoa and Maria de Maeztu Program for Centres and Units of Excellence in R&D (CEX2020-001084-M).
dc.publisher
University of Nis
dc.relation.ispartof
Filomat
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
A priori estimate; Heat equation, wave equation; q-calculus; q-derivative; q-difference operator; Rubin difference operator; Sobolev type space; Well-posedness
dc.title
Well-posedness of heat and wave equations generated by Rubin’s q-difference operator in Sobolev spaces
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/publishedVersion
dc.identifier.doi
10.2298/FIL2317799S
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
