 00139 Pablo Amster, Maria Cristina Mariani
 Periodic solutions of the forced pendulum equation with friction
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Mar 31, 00

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Abstract. This paper is devoted
to the study of the general forced pendulum equation in the
presence of friction,
$$u'' + a(t)u' + b(t) \sin u = f(t)$$
with $a,b\in C([0,T])$ and
$f\in L^2(0,T)$.
We'll show that $T$periodic solutions may be obtained as zeroes of a
$2\pi$periodic
continuous real function. Furthermore, the existence of infinitely many solution
s is
proved under appropiate conditions on $a,b$ and $f$.
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