Electron. J. Diff. Eqns., Vol. 2004(2004), No. 30, pp. 1-18.

Periodic Duffing equations with delay

Jean-Marc Belley & Michel Virgilio

Abstract:
Assuming a priori bounds on the mean of a $T$-periodic function $p$, we show that the Duffing equation
$$ x''(t) +cx'(t) +g(t-\tau,x(t-\tau), x'(t-\tau)) =p(t), $$
with delay $\tau$, admits a $T$-periodic solution.

Submitted January 22, 2004. Published March 3, 2004.
Math Subject Classifications: 34K13.
Key Words: Duffing equations, periodic solutions, delay equations, a priori bounds, contraction principle.

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Jean-Marc Belley
Universite de Sherbrooke, Faculte des sciences
Sherbrooke, Qc, Canada J1K 2R1
email: Jean-Marc.Belley@USherbrooke.ca
Michel Virgilio
Universite de Sherbrooke, Faculte des sciences
Sherbrooke, Qc, Canada J1K 2R1
email: Michel.Virgilio@dmi.usherb.ca

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