Positive periodic solutions for third-order nonlinear differential equations

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.

Keywords

• Green's function
• positive periodic solution
• third-order differential equation