Improving Results on Solvability of a Class of nth-Order Linear Boundary Value Problems

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 Economía y Competitividad
dc.date.accessioned2017-04-27T14:38:24Z
dc.date.available2017-04-27T14:38:24Z
dc.date.issued2016
dc.descriptionCopyright © 2016 P. Almenar and L. Jodar. 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.abstract[EN] This paper presents a modification of a recursive method described in a previous paper of the authors, which yields necessary and sufficient conditions for the existence of solutions of a class of 𝑛�th-order linear boundary value problems, in the form of integral inequalities. Such a modification simplifies the assessment of the conditions on restricting the inequality to be verified to a single point instead of the full interval where the boundary value problem is defined. The paper also provides an error bound that needs to be considered in the integral inequalities of the previous paper when they are calculated numericallyen_EN
dc.description.accrualMethodSes_ES
dc.description.bibliographicCitationAlmenar, P.; Jódar Sánchez, LA. (2016). Improving Results on Solvability of a Class of nth-Order Linear Boundary Value Problems. International Journal of Differential Equations. https://doi.org/10.1155/2016/3750530es_ES
dc.description.referencesAlmenar, P., & Jódar, L. (2015). Solvability ofNth Order Linear Boundary Value Problems. International Journal of Differential Equations, 2015, 1-19. doi:10.1155/2015/230405es_ES
dc.description.referencesKeener, M. S., & Travis, C. C. (1978). Positive Cones and Focal Points for a Class of nth Order Differential Equations. Transactions of the American Mathematical Society, 237, 331. doi:10.2307/1997625es_ES
dc.description.referencesGentry, R. D., & Travis, C. C. (1976). Comparison of eigenvalues associated with linear differential equations of arbitrary order. Transactions of the American Mathematical Society, 223, 167-167. doi:10.1090/s0002-9947-1976-0425241-xes_ES
dc.description.referencesSchmitt, K., & Smith, H. L. (1978). Positive solutions and conjugate points for systems of differential equations. Nonlinear Analysis: Theory, Methods & Applications, 2(1), 93-105. doi:10.1016/0362-546x(78)90045-7es_ES
dc.description.referencesTomastik, E. C. (1983). Comparison Theorems for Second Order Nonselfadjoint Differential Systems. SIAM Journal on Mathematical Analysis, 14(1), 60-65. doi:10.1137/0514005es_ES
dc.description.referencesHankerson, D., & Henderson, J. (1990). Positive Solutions and Extremal Points for Differential Equations. Applicable Analysis, 39(2-3), 193-207. doi:10.1080/00036819008839980es_ES
dc.description.referencesEloe, P. W., Hankerson, D., & Henderson, J. (1992). Positive solutions and conjugate points for multipoint boundary value problems. Journal of Differential Equations, 95(1), 20-32. doi:10.1016/0022-0396(92)90041-kes_ES
dc.description.referencesEloe, P. W., & Henderson, J. (1993). Focal Points and Comparison Theorems for a Class of Two Point Boundary Value Problems. Journal of Differential Equations, 103(2), 375-386. doi:10.1006/jdeq.1993.1055es_ES
dc.description.referencesEloe, P. W., & Henderson, J. (1994). Focal Point Characterizations and Comparisons for Right Focal Differential Operators. Journal of Mathematical Analysis and Applications, 181(1), 22-34. doi:10.1006/jmaa.1994.1003es_ES
dc.description.referencesEloe, P. ., Henderson, J., & Thompson, H. . (2000). Extremal points for impulsive Lidstone boundary value problems. Mathematical and Computer Modelling, 32(5-6), 687-698. doi:10.1016/s0895-7177(00)00165-5es_ES
dc.description.referencesEloe, P. W., & Ahmad, B. (2005). Positive solutions of a nonlinear <mml:math altimg=«si1.gif» display=«inline» overflow=«scroll» xmlns:xocs=«http://www.elsevier.com/xml/xocs/dtd» xmlns:xs=«http://www.w3.org/2001/XMLSchema» xmlns:xsi=«http://www.w3.org/2001/XMLSchema-instance» xmlns=«http://www.elsevier.com/xml/ja/dtd» xmlns:ja=«http://www.elsevier.com/xml/ja/dtd» xmlns:mml=«http://www.w3.org/1998/Math/MathML» xmlns:tb=«http://www.elsevier.com/xml/common/table/dtd» xmlns:sb=«http://www.elsevier.com/xml/common/struct-bib/dtd» xmlns:ce=«http://www.elsevier.com/xml/common/dtd» xmlns:xlink=«http://www.w3.org/1999/xlink» xmlns:cals=«http://www.elsevier.com/xml/common/cals/dtd»><mml:mi>n</mml:mi></mml:math>th order boundary value problem with nonlocal conditions. Applied Mathematics Letters, 18(5), 521-527. doi:10.1016/j.aml.2004.05.009es_ES
dc.description.referencesGraef, J. R., & Yang, B. (2006). Positive solutions to a multi-point higher order boundary value problem. Journal of Mathematical Analysis and Applications, 316(2), 409-421. doi:10.1016/j.jmaa.2005.04.049es_ES
dc.description.referencesGraef, J. R., Kong, L., & Wang, H. (2008). Existence, multiplicity, and dependence on a parameter for a periodic boundary value problem. Journal of Differential Equations, 245(5), 1185-1197. doi:10.1016/j.jde.2008.06.012es_ES
dc.description.referencesZhang, X., Feng, M., & Ge, W. (2009). Existence and nonexistence of positive solutions for a class of nth-order three-point boundary value problems in Banach spaces. Nonlinear Analysis: Theory, Methods & Applications, 70(2), 584-597. doi:10.1016/j.na.2007.12.028es_ES
dc.description.referencesZhang, P. (2011). Iterative Solutions of Singular Boundary Value Problems of Third-Order Differential Equation. Boundary Value Problems, 2011, 1-10. doi:10.1155/2011/483057es_ES
dc.description.referencesSun, Y., Sun, Q., & Zhang, X. (2014). Existence and Nonexistence of Positive Solutions for a Higher-Order Three-Point Boundary Value Problem. Abstract and Applied Analysis, 2014, 1-7. doi:10.1155/2014/513051es_ES
dc.description.referencesHao, X., Liu, L., & Wu, Y. (2015). Iterative solution to singular nth-order nonlocal boundary value problems. Boundary Value Problems, 2015(1). doi:10.1186/s13661-015-0393-6es_ES
dc.description.referencesEloe, P. W., & Ridenhour, J. (1994). Sign Properties of Green’s Functions for a Family of Two-Point Boundary Value Problems. Proceedings of the American Mathematical Society, 120(2), 443. doi:10.2307/2159880es_ES
dc.description.referencesHämmerlin, G., & Hoffman, K.-H. (1991). Numerical Mathematics. Undergraduate Texts in Mathematics. doi:10.1007/978-1-4612-4442-4es_ES
dc.description.sponsorshipThis work has been supported by the Spanish Ministerio de Economia y Competitividad Grant MTM2013-41765-P.
dc.description.upvformatpfin10es_ES
dc.identifier.doi10.1155/2016/3750530
dc.identifier.eissn1687-9651
dc.identifier.issn1687-9643
dc.identifier.urihttps://riunet.upv.es/handle/10251/80138
dc.languageIngléses_ES
dc.publisherHindawi Publishing Corporationes_ES
dc.relation.ispartofInternational Journal of Differential Equationses_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2013-41765-P/ES/METODOS COMPUTACIONALES PARA ECUACIONES DIFERENCIALES ALEATORIAS: TEORIA Y APLICACIONES/es_ES
dc.relation.publisherversionhttp://dx.doi.org/10.1155/2016/3750530es_ES
dc.relation.references10.1155/2015/230405es_ES
dc.relation.references10.2307/1997625es_ES
dc.relation.references10.1090/S0002-9947-1976-0425241-Xes_ES
dc.relation.references10.1016/0362-546x(78)90045-7es_ES
dc.relation.references10.1137/0514005es_ES
dc.relation.references10.1080/00036819008839980es_ES
dc.relation.references10.1016/0022-0396(92)90041-Kes_ES
dc.relation.references10.1006/jdeq.1993.1055es_ES
dc.relation.references10.1006/jmaa.1994.1003es_ES
dc.relation.references10.1016/S0895-7177(00)00165-5es_ES
dc.relation.references10.1016/j.aml.2004.05.009es_ES
dc.relation.references10.1016/j.jmaa.2005.04.049es_ES
dc.relation.references10.1016/j.jde.2008.06.012es_ES
dc.relation.references10.1016/j.na.2007.12.028es_ES
dc.relation.references10.1155/2011/483057es_ES
dc.relation.references10.1155/2014/513051es_ES
dc.relation.references10.1186/s13661-015-0393-6es_ES
dc.relation.references10.2307/2159880es_ES
dc.relation.references10.1007/978-1-4612-4442-4es_ES
dc.relation.senia327791es_ES
dc.rightsReconocimiento (by)es_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectFocal pointses_ES
dc.subjectComparison theoremses_ES
dc.subjectDifferential equationses_ES
dc.subjectPositive solutionses_ES
dc.subject.classificationMATEMATICA APLICADAes_ES
dc.titleImproving Results on Solvability of a Class of nth-Order Linear Boundary Value Problemses_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
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