Multiplicity of Forced Oscillations for Scalar Differential Equations
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We 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).
CitationFuri, M., Pera, M. P., & Spadini, M. (2001). Multiplicity of forced oscillations for scalar differential equations. Electronic Journal of Differential Equations, 2001(36), pp. 1-9.
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