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 2 → R is a continuous odd function and is 2π–periodic in t. The discussion is based on the fixed point index theory in cones.
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Li, Y.X. Oscillatory Periodic Solutions of Nonlinear Second Order Ordinary Differential Equations. Acta Math Sinica 21, 491–496 (2005). https://doi.org/10.1007/s10114-004-0444-x
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DOI: https://doi.org/10.1007/s10114-004-0444-x