Green's function to the forced Duffing equation involving nonlocal integral conditions by Green's functional concept

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dc.authorscopusid54403532200
dc.contributor.authorÖzen, Kemal
dc.date.accessioned2022-05-11T14:31:10Z
dc.date.available2022-05-11T14:31:10Z
dc.date.issued2012
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.descriptionEur. Soc. Comput. Methods Sci., Eng. Technol. (ESCMSET);The R. M. Santilli Foundation
dc.descriptionInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012 -- 19 September 2012 through 25 September 2012 -- Kos --
dc.description.abstractIn this work, by Green's functional concept we propose a Green's function to a nonlinear problem for the forced Duffing equation involving linear nonlocal integral conditions. To this end, a system of three integro-algebraic equations called the special adjoint system is constructed. And a condition for existing the unique solution to this system is presented. The unique solution of this special adjoint system is Green's functional. In accordance with this condition, the special adjoint system is reduced to an integral equation yielding the first component of Green's functional. This component represents Green's function for that problem. In order to illustrate the theoretical presentation, an application is provided. © 2012 American Institute of Physics.
dc.identifier.doi10.1063/1.4756576
dc.identifier.endpage1985
dc.identifier.isbn978-0735410916
dc.identifier.issn0094-243X
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-84883080081
dc.identifier.scopusqualityN/A
dc.identifier.startpage1982
dc.identifier.urihttps://doi.org/10.1063/1.4756576
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7349
dc.identifier.volume1479
dc.indekslendigikaynakScopus
dc.institutionauthorÖzen, Kemal
dc.language.isoen
dc.relation.ispartofAIP Conference Proceedings
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectAdjoint Problem
dc.subjectGreen's Function
dc.subjectNonlinear Ordinary Differential Equation
dc.subjectNonlocal Integral Condition
dc.titleGreen's function to the forced Duffing equation involving nonlocal integral conditions by Green's functional concept
dc.typeConference Object

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