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Approximate Solutions by Truncated Taylor Series Expansions of Nonlinear Differential Equations and Related Shadowing Property with Applications

dc.contributor.authorDe la Sen Parte, Manuel ORCID
dc.contributor.authorIbeas Hernández, Asier ORCID
dc.contributor.authorNistal Riobello, Raúl ORCID
dc.date.accessioned2016-03-18T11:52:04Z
dc.date.available2016-03-18T11:52:04Z
dc.date.issued2014
dc.identifier.citationAbstract and Applied Analysis 2014 : (2014) // Article ID 956318es
dc.identifier.issn1085-3375
dc.identifier.issn1687-0409
dc.identifier.urihttp://hdl.handle.net/10810/17701
dc.description.abstractThis paper investigates the errors of the solutions as well as the shadowing property of a class of nonlinear differential equations which possess unique solutions on a certain interval for any admissible initial condition. The class of differential equations is assumed to be approximated by well-posed truncated Taylor series expansions up to a certain order obtained about certain, in general nonperiodic, sampling points t(i) is an element of [t(0), t(J)] for i = 0, 1, . . . , J of the solution. Two examples are provided.es
dc.description.sponsorshipThe authors are very grateful to the Spanish Government for its support of this research through Grant DPI2012-30651 and to the Basque Government for its support of this research through Grants IT378-10 and SAIOTEK S-PE12UN015. They are also grateful to the University of Basque Country for its financial support through Grant UFI 2011/07.es
dc.language.isoenges
dc.publisherHindawi Publishinges
dc.rightsinfo:eu-repo/semantics/openAccesses
dc.subjectsystemses
dc.subjectoscillationes
dc.subjectergodicityes
dc.subjectrelayes
dc.subjectmodeles
dc.titleApproximate Solutions by Truncated Taylor Series Expansions of Nonlinear Differential Equations and Related Shadowing Property with Applicationses
dc.typeinfo:eu-repo/semantics/articlees
dc.rights.holder© 2014 M. De la Sen et al. 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
dc.relation.publisherversionhttp://www.hindawi.com/journals/aaa/2014/956318/abs/es
dc.identifier.doi10.1155/2014/956318
dc.departamentoesElectricidad y electrónicaes_ES
dc.departamentoeuElektrizitatea eta elektronikaes_ES
dc.subject.categoriaANALYSIS
dc.subject.categoriaMATHEMATICS, APPLIED


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