Separability properties of convolution-differential operator equations in weighted Lp spaces
| dc.authorscopusid | 6508234400 | |
| dc.authorscopusid | 57189889877 | |
| dc.contributor.author | Shakhmurov,V. | |
| dc.contributor.author | Musaev,H. | |
| dc.date.accessioned | 2024-10-15T20:22:53Z | |
| dc.date.available | 2024-10-15T20:22:53Z | |
| dc.date.issued | 2015 | |
| dc.department | Okan University | en_US |
| dc.department-temp | Shakhmurov V., Department of Mechanical Engineering, Okan University, Akfirat, Tuzla, Istanbul, 34959, Turkey, Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku, Azerbaijan; Musaev H., Institute of Applied Mathematics, Baku State University, Z. Khalilov 23, Baku, Azerbaijan | en_US |
| dc.description.abstract | In the present paper, separability properties of convolution - differential operator equations with unbounded operator coefficients in Banach space-valued weighted Lp-class are investigated. The coercive estimate for resolvent of the corresponding realization operator, especially its R - positivity is obtained. Finally, these results an applied to establish wellposedeness of the Cauchy problem for the abstract parabolic convolution equations and system of finite and infinite order integro-differential equations. © 2015, Azerbaijan National Academy of Sciences. All rights reserved. | en_US |
| dc.identifier.citationcount | 8 | |
| dc.identifier.endpage | 233 | en_US |
| dc.identifier.issn | 1683-3511 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopus | 2-s2.0-84983491129 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 221 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.14517/6803 | |
| dc.identifier.volume | 14 | en_US |
| dc.identifier.wosquality | Q1 | |
| dc.language.iso | en | |
| dc.publisher | Azerbaijan National Academy of Sciences | en_US |
| dc.relation.ispartof | Applied and Computational Mathematics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.scopus.citedbyCount | 10 | |
| dc.subject | Banach space | en_US |
| dc.subject | Cauchy problem | en_US |
| dc.subject | Fourier transform | en_US |
| dc.subject | Separability properties | en_US |
| dc.title | Separability properties of convolution-differential operator equations in weighted Lp spaces | en_US |
| dc.type | Article | en_US |