Oscillatory Periodic Solutions of Nonlinear Second Order Ordinary Differential Equations |
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| Authors: | Yong Xiang Li |
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| Institution: | (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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