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Periodic solutions of a second order nonlinear differential equation
Published online by Cambridge University Press: 17 April 2009
Abstract
We consider the following non-linear nonautonomous second order differential equation
where h(x) is continuous, f, p are continuous and periodic with respect to t of period w. Using the Leray-Schauder fixed point technique we prove that the above equation possesses at least one non-trivial periodic solution of period w.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 40 , Issue 3 , December 1989 , pp. 357 - 361
- Copyright
- Copyright © Australian Mathematical Society 1989
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