Convergent Disfocality and Nondisfocality Criteria for Second-Order Linear Differential Equations

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dc.contributor.affiliationFacultad de Administración y Dirección de Empresas
dc.contributor.affiliationDepartamento de Matemática Aplicada
dc.contributor.affiliationInstituto Universitario de Matemática Multidisciplinar
dc.contributor.authorAlmenar, Pedroes_ES
dc.contributor.authorJódar Sánchez, Lucas Antonio
dc.contributor.funderMinisterio de Ciencia e Innovación
dc.date.accessioned2016-04-14T15:11:03Z
dc.date.available2016-04-14T15:11:03Z
dc.date.issued2013
dc.descriptionCopyright © 2013 Pedro Almenar and Lucas Jódar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.es_ES
dc.description.abstractThis paper presents a method to determine whether the second-order linear differential equation y(n) + q(x)y = 0 is either disfocal or nondisfocal in a fixed interval. The method is based on the recursive application of a linear operator to certain functions and yields upper and lower bounds for the distances between a zero and its adjacent critical points, which will be shown to converge to the exact values of such distances as the recursivity index grows.es_ES
dc.description.accrualMethodSes_ES
dc.description.bibliographicCitationAlmenar, P.; Jódar Sánchez, LA. (2013). Convergent Disfocality and Nondisfocality Criteria for Second-Order Linear Differential Equations. Abstract and Applied Analysis. 2013:1-11. doi:10.1155/2013/987976es_ES
dc.description.referencesKwong, M. K. (1981). On Lyapunov’s inequality for disfocality. Journal of Mathematical Analysis and Applications, 83(2), 486-494. doi:10.1016/0022-247x(81)90137-2es_ES
dc.description.referencesKwong, M. K. (1999). Integral Inequalities for Second-Order Linear Oscillation. Mathematical Inequalities & Applications, (1), 55-71. doi:10.7153/mia-02-06es_ES
dc.description.referencesHarris, B. . (1990). On an inequality of Lyapunov for disfocality. Journal of Mathematical Analysis and Applications, 146(2), 495-500. doi:10.1016/0022-247x(90)90319-bes_ES
dc.description.referencesBrown, R. C., & Hinton, D. B. (1997). Proceedings of the American Mathematical Society, 125(04), 1123-1130. doi:10.1090/s0002-9939-97-03907-5es_ES
dc.description.referencesTipler, F. J. (1978). General relativity and conjugate ordinary differential equations. Journal of Differential Equations, 30(2), 165-174. doi:10.1016/0022-0396(78)90012-8es_ES
dc.description.referencesDošlý, O. (1993). Conjugacy Criteria for Second Order Differential Equations. Rocky Mountain Journal of Mathematics, 23(3), 849-861. doi:10.1216/rmjm/1181072527es_ES
dc.description.referencesMoore, R. (1955). The behavior of solutions of a linear differential equation of second order. Pacific Journal of Mathematics, 5(1), 125-145. doi:10.2140/pjm.1955.5.125es_ES
dc.description.referencesAlmenar, P., & Jódar, L. (2012). An upper bound for the distance between a zero and a critical point of a solution of a second order linear differential equation. Computers & Mathematics with Applications, 63(1), 310-317. doi:10.1016/j.camwa.2011.11.023es_ES
dc.description.referencesAlmenar, P., & Jódar, L. (2013). The Distribution of Zeroes and Critical Points of Solutions of a Second Order Half-Linear Differential Equation. Abstract and Applied Analysis, 2013, 1-6. doi:10.1155/2013/147192es_ES
dc.description.referencesBellman, R. (1943). The stability of solutions of linear differential equations. Duke Mathematical Journal, 10(4), 643-647. doi:10.1215/s0012-7094-43-01059-2es_ES
dc.description.sponsorshipThis work has been supported by the Spanish Ministry of Science and Innovation Project DPI2010-C02-01.en_EN
dc.description.upvformatpfin11es_ES
dc.description.upvformatpinicio1es_ES
dc.description.volume2013es_ES
dc.identifier.doi10.1155/2013/987976
dc.identifier.eissn1687-0409
dc.identifier.issn1085-3375
dc.identifier.urihttps://riunet.upv.es/handle/10251/62576
dc.languageIngléses_ES
dc.publisherHindawi Publishing Corporationes_ES
dc.relation.ispartofAbstract and Applied Analysises_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICINN//DPI2010-20891-C02-01/ES/MODELIZACION Y METODOS NUMERICOS, ALEATORIOS Y DETERMINISTAS, PARA EL FILTRADO DE PARTICULAS DIESEL EN MOTORES DE COMBUSTION INTERNA SOBREALIMENTADOS/es_ES
dc.relation.publisherversionhttp://dx.doi.org/10.1155/2013/987976es_ES
dc.relation.references10.1016/0022-247X(81)90137-2es_ES
dc.relation.references10.7153/mia-02-06es_ES
dc.relation.references10.1016/0022-247X(90)90319-Bes_ES
dc.relation.references10.1090/S0002-9939-97-03907-5es_ES
dc.relation.references10.1016/0022-0396(78)90012-8es_ES
dc.relation.references10.1216/rmjm/1181072527es_ES
dc.relation.references10.2140/pjm.1955.5.125es_ES
dc.relation.references10.1016/j.camwa.2011.11.023es_ES
dc.relation.references10.1155/2013/147192es_ES
dc.relation.references10.1215/S0012-7094-43-01059-2es_ES
dc.relation.senia255832es_ES
dc.rightsReconocimiento (by)es_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectInequalityes_ES
dc.subjectOscillationes_ES
dc.subjectLyapunoves_ES
dc.subject.classificationMATEMATICA APLICADAes_ES
dc.titleConvergent Disfocality and Nondisfocality Criteria for Second-Order Linear Differential Equationses_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
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person.identifier.orcid0000-0002-9672-6249
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