Multiplicity of Forced Oscillations for Scalar Differential Equations

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dc.contributor.authorFuri, Massimo
dc.contributor.authorPera, Maria Patrizia
dc.contributor.authorSpadini, Marco
dc.date.accessioned2020-06-03T18:29:55Z
dc.date.available2020-06-03T18:29:55Z
dc.date.issued2001-05-21
dc.description.abstractWe give, via topological methods, multiplicity results for small periodic perturbations of scalar second order differential equations. In particular, we show that the equation ẍ = g(x) + εf(t, x, ẋ), where g is C1 and ƒ is continuous and periodic in t, has n forced oscillations, provided that g changes sign n times (n > 1).
dc.description.departmentMathematics
dc.formatText
dc.format.extent9 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationFuri, M., Pera, M. P., & Spadini, M. (2001). Multiplicity of forced oscillations for scalar differential equations. <i>Electronic Journal of Differential Equations, 2001</i>(36), pp. 1-9.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/11107
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectForced oscillations
dc.subjectOrdinary differential equations
dc.subjectMultiplicity of periodic solutions
dc.titleMultiplicity of Forced Oscillations for Scalar Differential Equations
dc.typeArticle

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