Oscillatory Periodic Solutions of Nonlinear Second Order Ordinary Differential Equations |
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Authors: | Yong Xiang Li |
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Affiliation: | (1) Department of Mathematics, Northwest Normal University, Lanzhou 730070, P. R. China |
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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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Keywords: | Second order differential equation Oscillatory periodic solution Cone Fixed point index |
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