Remark on Duffing equation with Dirichlet boundary condition

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dc.contributor.authorTomiczek, Petr
dc.date.accessioned2021-08-11T19:13:34Z
dc.date.available2021-08-11T19:13:34Z
dc.date.issued2007-05-29
dc.description.abstractIn this note, we prove the existence of a solution to the semilinear second order ordinary differential equation u″(x) + r(x)u′ + g(x, u) = ƒ(x), x(0) = x(π) = 0, using a variational method and critical point theory.
dc.description.departmentMathematics
dc.formatText
dc.format.extent3 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationTomiczek, P. (2007). Remark on Duffing equation with Dirichlet boundary condition. <i>Electronic Journal of Differential Equations, 2007</i>(81), pp. 1-3.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14276
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectSecond order ODE
dc.subjectDirichlet problem
dc.subjectVariational method
dc.subjectCritical point
dc.titleRemark on Duffing equation with Dirichlet boundary conditionen_US
dc.typeArticle

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