Furi, MassimoPera, Maria PatriziaSpadini, Marco2020-06-032020-06-032001-05-21Furi, 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. 1-9.1072-6691https://hdl.handle.net/10877/11107We 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).Text9 pages1 file (.pdf)enAttribution 4.0 InternationalForced oscillationsOrdinary differential equationsMultiplicity of periodic solutionsArticle