Li, Yong Xiang, Oscillatory Periodic Solutions of Nonlinear Second Order Ordinary Differential Equations, Acta mathematica Sinica. English series (Print) , 21(3), 2005, pp. 491-496
In this paper the existence results of oscillatory periodic solutions are obtained for a second order ordinary differential equation .u"(t) = f(t, u(t)), where f : R 2 . R is a continuous odd function and is 2..periodic in t. The discussion is based on the fixed point index theory in cones.