Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 91, pp. 1-7.
Title: Existence of positive periodic solutions to third-order delay
differential equations
Author: Zhanji Gui (Hainan Normal Univ., China)
Abstract:
Using the continuation theorem of coincidence degree theory
and analysis techniques, we establish criteria for the
existence of periodic solutions to the following third-order neutral
delay functional differential equation with deviating arguments
$$
\dddot{x}(t)+a\ddot{x}(t)+g(\dot{x}(t-\tau(t)))+f({x}(t-\tau(t)))=p(t).
$$
Our results complement and extend known results and are
illustrated with examples.
Submitted April 20, 2006. Published August 15, 2006.
Math Subject Classifications: 34C25.
Key Words: Neutral delay; third-order differential equation; periodic solution.