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Oscillatory Periodic Solutions of Nonlinear Second Order Ordinary Differential Equations
Authors:Yong Xiang Li
Affiliation:(1) Department of Mathematics, Northwest Normal University, Lanzhou 730070, P. R. China
Abstract: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 2R is a continuous odd function and is 2π–periodic in t. The discussion is based on the fixed point index theory in cones.
Keywords:Second order differential equation   Oscillatory periodic solution   Cone   Fixed point index
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