Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 66, pp. 1-19.

Title: Positive periodic solutions for third-order nonlinear
       differential equations
       
Authors: Jingli Ren (Zhengzhou Univ., China)
         Stefan Siegmund (Dresden Univ. of Technology, Germany)
	 Yueli Chen (Zhengzhou Univ., China)

Abstract:
 For several classes of third-order constant coefficient
 linear differential equations we obtain existence and uniqueness
 of periodic solutions utilizing explicit Green's functions.
 We discuss an iteration method for constant coefficient
 nonlinear differential equations and provide new conditions
 for the existence of periodic positive solutions for third-order
 time-varying nonlinear and neutral differential equations.
 
Submitted April 19, 2011. Published May 18, 2011.
Math Subject Classifications: 34B18, 34B27, 35B10
Key Words: Green's function; positive periodic solution;
           third-order differential equation.