Existence and Uniqueness of Periodic Solution for Nonlinear Second-Order Ordinary Differential Equations
نویسندگان
چکیده
The study on periodic solutions for ordinary differential equations is a very important branch in the differential equation theory. Many results about the existence of periodic solutions for second-order differential equations have been obtained by combining the classical method of lower and upper solutions and the method of alternative problems The Lyapunov-Schmidt method as discussed by many authors 1–10 . In 11 , the author gives a simple method to discuss the existence and uniqueness of nonlinear two-point boundary value problems. In this paper, we will extend this method to the periodic problem. We consider the second-order ordinary differential equation
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