Geodesic
Multiplicity of forced oscillations for scalar differential equations
Electronic journal of differential equations, Tome 2001 (2001)
Zbl   EuDML
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 oscillations, provided that $g$ changes sign $n$ times ($n greater than 1$).
Classification : 34C25, 34C60
Keywords: forced oscillations, ordinary differential equations, multiplicity of periodic solutions 
Furi,  Massimo; Pera,  Maria Patrizia; Spadini,  Marco. Multiplicity of forced oscillations for scalar differential equations. Electronic journal of differential equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a225/
@article{EJDE_2001__2001__a225,
     author = {Furi,  Massimo and Pera,  Maria Patrizia and Spadini,  Marco},
     title = {Multiplicity of forced oscillations for scalar differential equations},
     journal = {Electronic journal of differential equations},
     year = {2001},
     volume = {2001},
     zbl = {0979.34035},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a225/}
}
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AU  - Spadini,  Marco
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