Multiplicity of forced oscillations for scalar differential equations

We give, via topological methods, multiplicity results for small periodic perturbations of scalar second order differential equations. In particular, we show that the equation $$ ddot{x} = g(x)+varepsilon f(t,x,dot x), $$ where $g$ is $C^1$ and $f$ is continuous and periodic in $t$, has $n$ forced o...

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Bibliographic Details

Published in:	Electronic Journal of Differential Equations
Main Authors:	Massimo Furi, Maria Patrizia, Marco Spadini
Format:	Article
Language:	English
Published:	Texas State University 2001-05-01
Subjects:	Forced oscillations ordinary differential equations multiplicity of periodic solutions.
Online Access:	http://ejde.math.txstate.edu/Volumes/2001/36/abstr.html