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Solving second-order linear differential equations with random analytic coefficients about regular-singular points

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Solving second-order linear differential equations with random analytic coefficients about regular-singular points

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Nombre: Cortés;Navarro-Qu ...
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dc.contributor.author Cortés, J.-C. es_ES
dc.contributor.author Navarro-Quiles, Ana es_ES
dc.contributor.author Romero, José-Vicente es_ES
dc.contributor.author Roselló, María-Dolores es_ES
dc.date.accessioned 2021-02-09T04:32:15Z
dc.date.available 2021-02-09T04:32:15Z
dc.date.issued 2020-02-10 es_ES
dc.identifier.uri http://hdl.handle.net/10251/160906
dc.description.abstract [EN] In this contribution, we construct approximations for the density associated with the solution of second-order linear differential equations whose coefficients are analytic stochastic processes about regular-singular points. Our analysis is based on the combination of a random Fröbenius technique together with the random variable transformation technique assuming mild probabilistic conditions on the initial conditions and coefficients. The new results complete the ones recently established by the authors for the same class of stochastic differential equations, but about regular points. In this way, this new contribution allows us to study, for example, the important randomized Bessel differential equation. es_ES
dc.description.sponsorship This work was partially funded by the Ministerio de Economia y Competitividad Grant MTM2017-89664-P. Ana Navarro Quiles acknowledges the funding received from Generalitat Valenciana through a postdoctoral contract (APOSTD/2019/128). Computations were carried out thanks to the collaboration of Raul San Julian Garces and Elena Lopez Navarro granted by the European Union through the Operational Program of the European Regional Development Fund (ERDF)/European Social Fund (ESF) of the Valencian Community 2014-2020, Grants GJIDI/2018/A/009 and GJIDI/2018/A/010, respectively es_ES
dc.language Inglés es_ES
dc.publisher MDPI AG es_ES
dc.relation.ispartof Mathematics es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Random variable transformation technique es_ES
dc.subject Second-order random linear differential equation es_ES
dc.subject Regular-singular point es_ES
dc.subject First probability density function es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Solving second-order linear differential equations with random analytic coefficients about regular-singular points es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.3390/math8020230 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//APOSTD%2F2019%2F128/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//GJIDI%2F2018%2FA%2F009/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//GJIDI%2F2018%2FA%2F010/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-89664-P/ES/PROBLEMAS DINAMICOS CON INCERTIDUMBRE SIMULABLE: MODELIZACION MATEMATICA, ANALISIS, COMPUTACION Y APLICACIONES/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Cortés, J.; Navarro-Quiles, A.; Romero, J.; Roselló, M. (2020). Solving second-order linear differential equations with random analytic coefficients about regular-singular points. Mathematics. 8(2):1-20. https://doi.org/10.3390/math8020230 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.3390/math8020230 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 20 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 8 es_ES
dc.description.issue 2 es_ES
dc.identifier.eissn 2227-7390 es_ES
dc.relation.pasarela S\402489 es_ES
dc.contributor.funder European Social Fund es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
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