Sectorial operators with convolution term

dc.authorscopusid 6508234400
dc.authorscopusid 25936697400
dc.contributor.author Shakhmurov,V.
dc.contributor.author Shahmurov,R.
dc.date.accessioned 2024-05-25T12:31:01Z
dc.date.available 2024-05-25T12:31:01Z
dc.date.issued 2010
dc.department Okan University en_US
dc.department-temp Shakhmurov V., Okan University, Department of Electronics and Communication, Akfirat Beldesi, Tuzla, 34959, Istanbul, Turkey; Shahmurov R., Okan University, Vocational High School, Hasanpasa 34722, Istanbul, Turkey en_US
dc.description.abstract In the present paper, separability properties of convolution-differential equations with unbounded operator coefficients in Banach valued Lp spaces are investigated. A coercive estimate for resolvent of corresponding realization operator, especially, its R-sectoriality is obtained. Finally, these results applied to establish maximal regularity of Cauchy problem for the abstract parabolic convolution equations and integro-differential equations on infinite dimension state spaces. © ELEMENT, Zagreb. en_US
dc.identifier.citationcount 8
dc.identifier.doi 10.7153/mia-13-30
dc.identifier.endpage 404 en_US
dc.identifier.issn 1331-4343
dc.identifier.issue 2 en_US
dc.identifier.scopus 2-s2.0-77952594681
dc.identifier.scopusquality Q2
dc.identifier.startpage 387 en_US
dc.identifier.uri https://doi.org/10.7153/mia-13-30
dc.identifier.uri https://hdl.handle.net/20.500.14517/2240
dc.identifier.volume 13 en_US
dc.identifier.wosquality Q2
dc.language.iso en
dc.publisher Element D.O.O. en_US
dc.relation.ispartof Mathematical Inequalities and Applications en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 11
dc.subject Abstract cauchy problem en_US
dc.subject Banach-valued l<sub>p</sub> spaces en_US
dc.subject Boundary value problems en_US
dc.subject Integro-differential equations en_US
dc.subject Operator-valued multipliers en_US
dc.subject Sectorial operators en_US
dc.title Sectorial operators with convolution term en_US
dc.type Article en_US

Files