Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 30, pp. 1-18.
Title: Periodic Duffing equations with delay
Authors: Jean-Marc Belley (Univ. de Sherbrooke, Qc, Canada)
Michel Virgilio (Univ. de Sherbrooke, Qc, Canada)
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.