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.