On the smoothness of solutions of the third order nonlinear differential equation

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Análise Matemática, Estatística e Optimizacióngl
dc.contributor.authorBerdyshev, Abdumauvlen S.
dc.contributor.authorBirgebaev, Ahtai B.
dc.contributor.authorCabada Fernández, Alberto
dc.date.accessioned2018-10-22T15:08:11Z
dc.date.available2018-10-22T15:08:11Z
dc.date.issued2017
dc.description.abstractIn this work we study the following third order differential equation: Ly := y + (q(x, y) + λ)y = f ∈ L2(R), R = (–∞,∞),λ > 0, where q(x, y) ≥ 1 is a continuous function in all its variables. We will deal with the following questions: (a) The existence of a solution to equation (1) in the space L2(R) where L2(R) is the space of square summable functions. (b) Additional conditions on the third derivative of this solution to belong to the space L2(R)gl
dc.description.peerreviewedSIgl
dc.description.sponsorshipAlberto Cabada was partially supported by Ministerio de Economía y Competitividad, Spain, and FEDER, project MTM2013-43014-P, and by the Agencia Estatal de Investigación (AEI) of Spain under grant MTM2016-75140-P, co-financed by the European Community fund FEDERgl
dc.identifier.citationBerdyshev, A., Birgebaev, A. & Cabada, A. (2017). On the smoothness of solutions of the third order nonlinear differential equation. Boundary Value Problems, 2017:69. doi: https://doi.org/10.1186/s13661-017-0799-4gl
dc.identifier.doi10.1186/s13661-017-0799-4
dc.identifier.essn1687-2770
dc.identifier.issn1687-2762
dc.identifier.urihttp://hdl.handle.net/10347/17605
dc.language.isoenggl
dc.publisherSpringergl
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-75140-P/ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2013-43014-P/ES/RETOS EN LA GESTION DE LA PLANTA INVASORA CARPOBROTUS EDULIS: CAMBIOS FENOTIPICOS EN EL CURSO DE LA INVASION, RESPUESTAS A ESCENARIOS DE CAMBIO GLOBAL Y CONTROL BIOLOGICO
dc.relation.publisherversionhttps://doi.org/10.1186/s13661-017-0799-4gl
dc.rights© The Author(s) 2017. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were madegl
dc.rights.accessRightsopen accessgl
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectNonlinear equationgl
dc.subjectSolvabilitygl
dc.subjectSeparabilitygl
dc.subjectSmoothnessgl
dc.titleOn the smoothness of solutions of the third order nonlinear differential equationgl
dc.typejournal articlegl
dc.type.hasVersionVoRgl
dspace.entity.typePublication
relation.isAuthorOfPublication72eb316c-075b-4d19-8242-bf6cbcd8a2cc
relation.isAuthorOfPublication.latestForDiscovery72eb316c-075b-4d19-8242-bf6cbcd8a2cc

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