The Twist bend Theorem With an Application
In this paper,a fixed point theorem(called twist bent theorem) is proved for analytic maps,where the bend condition replaces the area preserving condition in the classic twist theorem(see the Reference(Ding W.Y.,A generalization of the Poincare Birkhoff theorem, Proc.Amer.Soc,1983,88:341 346).Then the twist bend theorem is applied to proving the existence of subharmonic solutions of certain dissipative Duffing equation containing small parameters.