Mostrar el registro sencillo del ítem

The maximal subspace for generation of (a,k)-regularized families

dc.creatorAlvarez-Pardo, E.
dc.creatorLizama, C.
dc.date.accessioned2019-11-06T19:05:20Z
dc.date.available2019-11-06T19:05:20Z
dc.date.issued2012
dc.identifier.citationAbstract and Applied Analysis; Vol. 2012
dc.identifier.issn1085-3375
dc.identifier.urihttps://hdl.handle.net/20.500.12585/8763
dc.description.abstractLet A be a linear operator in a Banach space X. We define a subspace of X and a norm such that the part of A in such subspace generates an (a, k)-regularized resolvent family. This space is maximal-unique in a suitable sense and nontrivial, under certain conditions on the kernels a and k. © 2012 Edgardo Alvarez-Pardo and Carlos Lizama.eng
dc.format.mediumRecurso electrónico
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.sourcehttps://www2.scopus.com/inward/record.uri?eid=2-s2.0-84870024619&doi=10.1155%2f2012%2f683021&partnerID=40&md5=8b5756073fbaffb26423d0fcfa14603b
dc.sourceScopus 56501378100
dc.sourceScopus 56036759500
dc.titleThe maximal subspace for generation of (a,k)-regularized families
dcterms.bibliographicCitationKantorovitz, S., The Hille-Yosida space of an arbitrary operator (1988) Journal of Mathematical Analysis and Applications, 136 (1), pp. 107-111. , 10.1016/0022-247X(88)90118-7 972586 ZBL0675.47033
dcterms.bibliographicCitationCioranescu, I., On the second order Cauchy problem associated with a linear operator (1991) Journal of Mathematical Analysis and Applications, 154 (1), pp. 238-242. , 10.1016/0022-247X(91)90083-C 1087971 ZBL0746.47023
dcterms.bibliographicCitationLizama, C., On volterra equations associated with a linear operator (1993) Proceedings of the American Mathematical Society, 118 (4), pp. 1159-1166. , 10.2307/2160072 1152281 ZBL0781.45013
dcterms.bibliographicCitationDa Prato, G., Iannelli, M., Linear integro-differential equations in Banach spaces (1980) Rendiconti Del Seminario Matematico dell'Università di Padova, 62, pp. 207-219. , 582951 ZBL0451.45014
dcterms.bibliographicCitationArendt, W., Batty, C.J.K., Hieber, M., Neubrander, F., (2001) Vector-Valued Laplace Transforms and Cauchy Problems, 96. , Basel, Switzerland Birkhäuser Monographs in Mathematics 1886588 ZBL1184.76191
dcterms.bibliographicCitationLizama, C., Regularized solutions for abstract Volterra equations (2000) Journal of Mathematical Analysis and Applications, 243 (2), pp. 278-292. , 10.1006/jmaa.1999.6668 1741524 ZBL0952.45005
dcterms.bibliographicCitationKostic, M., (a, k) -regularized C-resolvent families: Regularity and local properties (2009) Abstract and Applied Analysis, 2009, p. 27. , 858242 10. 1155/2009/858242
dcterms.bibliographicCitationLizama, C., Miana, P.J., A Landau-Kolmogorov inequality for generators of families of bounded operators (2010) Journal of Mathematical Analysis and Applications, 371 (2), pp. 614-623. , 10.1016/j.jmaa.2010.05.065 2670138 ZBL1205.47018
dcterms.bibliographicCitationLizama, C., Sánchez, J., On perturbation of K -regularized resolvent families (2003) Taiwanese Journal of Mathematics, 7 (2), pp. 217-227. , 1978011
dcterms.bibliographicCitationLizama, C., Prado, H., On duality and spectral properties of (a, k) -regularized resolvents (2009) Proceedings of the Royal Society of Edinburgh A, 139 (3), pp. 505-517. , 10.1017/S0308210507000364 2506784
dcterms.bibliographicCitationLizama, C., Prado, H., Rates of approximation and ergodic limits of regularized operator families (2003) Journal of Approximation Theory, 122 (1), pp. 42-61. , DOI 10.1016/S0021-9045(03)00040-6
dcterms.bibliographicCitationShaw, S.-Y., Chen, J.-C., Asymptotic behavior of (a, k) -regularized resolvent families at zero (2006) Taiwanese Journal of Mathematics, 10 (2), pp. 531-542. , 2208283
dcterms.bibliographicCitationShaw, S.-Y., Liu, H., Continuity of restrictions of (a, k) -regularized resolvent families to invariant subspaces (2009) Taiwanese Journal of Mathematics, 13 (2 A), pp. 535-544. , 2500005
dcterms.bibliographicCitationKostić, M., (2011) Generalized Semigroups and Cosine Functions, 23. , Matematički Institut SANU, Belgrade Posebna Izdanja 2790849
dcterms.bibliographicCitationLizama, C., N'Guérékata, G.M., Bounded mild solutions for semilinear integro differential equations in Banach spaces (2010) Integral Equations and Operator Theory, 68 (2), pp. 207-227. , 10.1007/s00020-010-1799-2 2721083 ZBL1209.45007
dcterms.bibliographicCitationKellerman, H., Hieber, M., Integrated semigroups (1989) Journal of Functional Analysis, 84 (1), pp. 160-180. , 10.1016/0022-1236(89)90116-X 999494 ZBL0689.47014
dcterms.bibliographicCitationArendt, W., Kellerman, H., (1987) Integrated Solutions of Volterra Integrodifferential Equations and Applications, 190. , Pitman Research Notes in Mathematical
dcterms.bibliographicCitationGorenflo, R., Mainardi, F., Carpinteri, A., Mainardiparaaaa, F., Fractional calculus: Integral and differential equations of fractional order (1997) Fractals and Fractional Calculus in Continuum Mechanics, pp. 223-276. , New York, NY, USA Springer 1611585
dcterms.bibliographicCitationMainardi, F., Gorenflo, R., On Mittag-Leffler-type functions in fractional evolution processes (2000) Journal of Computational and Applied Mathematics, 118 (1-2), pp. 283-299. , 10.1016/S0377-0427(00)00294-6 1765955 ZBL0970.45005
dcterms.bibliographicCitationGorenflo, R., Mainardi, F., (1997) Fractional Calculus: Integral and Differential Equations of Fractional Order, , New York, NY, USA Springer Fractals and Fractional Calculus in Continuum Mechanics
dcterms.bibliographicCitationHaubold, H.J., Mathai, A.M., Saxena, R.K., Mittag-Leffler functions and their applications (2011) Journal of Applied Mathematics, 2011, p. 51. , 298628 10.1155/2011/298628 2800586 ZBL1218.33021
dcterms.bibliographicCitationChen, C., Li, M., Li, F.-B., On boundary values of fractional resolvent families (2011) Journal of Mathematical Analysis and Applications, 384 (2), pp. 453-467. , 10.1016/j.jmaa.2011.05.074 2825199 ZBL1230.47071
dcterms.bibliographicCitationGradshteyn, I.S., Ryzhik, I.M., (2007) Table of Integrals, Series, and Products, , Elsevier 2360010
datacite.rightshttp://purl.org/coar/access_right/c_abf2
oaire.resourceTypehttp://purl.org/coar/resource_type/c_6501
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.driverinfo:eu-repo/semantics/article
dc.type.hasversioninfo:eu-repo/semantics/publishedVersion
dc.identifier.doi10.1155/2012/683021
dc.rights.accessrightsinfo:eu-repo/semantics/openAccess
dc.rights.ccAtribución-NoComercial 4.0 Internacional
dc.identifier.instnameUniversidad Tecnológica de Bolívar
dc.identifier.reponameRepositorio UTB
dc.type.spaArtículo


Ficheros en el ítem

Thumbnail
Nombre:
DOI10_11552012683021.pdf
Tamaño:
1.858Mb
Formato:
PDF
Ver/

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem

http://creativecommons.org/licenses/by-nc-nd/4.0/
http://creativecommons.org/licenses/by-nc-nd/4.0/

Universidad Tecnológica de Bolívar - 2017 Institución de Educación Superior sujeta a inspección y vigilancia por el Ministerio de Educación Nacional. Resolución No 961 del 26 de octubre de 1970 a través de la cual la Gobernación de Bolívar otorga la Personería Jurídica a la Universidad Tecnológica de Bolívar.