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On the zeroes and the critical points of a solution of a second order half-linear differential equation

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On the zeroes and the critical points of a solution of a second order half-linear differential equation

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dc.contributor.author Almenar, P es_ES
dc.contributor.author Jódar Sánchez, Lucas Antonio es_ES
dc.date.accessioned 2013-04-11T09:34:53Z
dc.date.available 2013-04-11T09:34:53Z
dc.date.issued 2012
dc.identifier.issn 1085-3375
dc.identifier.uri http://hdl.handle.net/10251/27790
dc.description.abstract This paper presents two methods to obtain upper bounds for the distance between a zero and an adjacent critical point of a solution of the second-order half-linear di¿erential equation p x ¿ y q x ¿ y 0, with p x and q x piecewise continuous and p x > 0, ¿ t |t| r¿2 t and r being real such that r > 1. It also compares between them in several examples. Lower bounds i.e., Lyapunov inequalities for such a distance are also provided and compared with other methods. es_ES
dc.description.sponsorship This work has been supported by the Spanish Ministry of Science and Innovation Project DPI2010-C02-01. en_EN
dc.language Inglés es_ES
dc.publisher Hindawi Publishing Corporation
dc.relation.ispartof Abstract and Applied Analysis es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On the zeroes and the critical points of a solution of a second order half-linear differential equation es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1155/2012/787920
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//DPI2010-C02-01
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 Almenar, P.; Jódar Sánchez, LA. (2012). On the zeroes and the critical points of a solution of a second order half-linear differential equation. Abstract and Applied Analysis. 2012(ID 78792):1-18. doi:10.1155/2012/787920 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1155/2012/787920
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 18 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 2012 es_ES
dc.description.issue ID 78792 es_ES
dc.relation.senia 234215
dc.contributor.funder Ministerio de Ciencia e Innovación
dc.description.references Almenar, 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.2011.11.023 es_ES
dc.description.references Li, H. J., & Yeh, C. C. (1995). Sturmian comparison theorem for half-linear second-order differential equations. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 125(6), 1193-1204. doi:10.1017/s0308210500030468 es_ES
dc.description.references Yang, X. (2003). On inequalities of Lyapunov type. Applied Mathematics and Computation, 134(2-3), 293-300. doi:10.1016/s0096-3003(01)00283-1 es_ES
dc.description.references Lee, C.-F., Yeh, C.-C., Hong, C.-H., & Agarwal, R. P. (2004). Lyapunov and Wirtinger inequalities. Applied Mathematics Letters, 17(7), 847-853. doi:10.1016/j.aml.2004.06.016 es_ES
dc.description.references Pinasco, J. P. (2004). Lower bounds for eigenvalues of the one-dimensionalp-Laplacian. Abstract and Applied Analysis, 2004(2), 147-153. doi:10.1155/s108533750431002x es_ES
dc.description.references Pinasco, J. P. (2006). Comparison of eigenvalues for the p-Laplacian with integral inequalities. Applied Mathematics and Computation, 182(2), 1399-1404. doi:10.1016/j.amc.2006.05.027 es_ES
dc.description.references Almenar, P., & Jódar, L. (2009). Improving explicit bounds for the solutions of second order linear differential equations. Computers & Mathematics with Applications, 57(10), 1708-1721. doi:10.1016/j.camwa.2009.03.076 es_ES
dc.description.references Moore, 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.1955.5.125 es_ES


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