Multiplicity of Forced Oscillations for Scalar Differential Equations
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Date
2001-05-21
Authors
Furi, Massimo
Pera, Maria Patrizia
Spadini, Marco
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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).
Description
Keywords
Forced oscillations, Ordinary differential equations, Multiplicity of periodic solutions
Citation
Furi, 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.