Existence and Uniqueness of Periodic Solution for Nonlinear Second-Order Ordinary Differential Equations

<p/> <p>We study periodic solutions for nonlinear second-order ordinary differential problem <inline-formula> <graphic file="1687-2770-2011-192156-i1.gif"/></inline-formula>. By constructing upper and lower boundaries and using Leray-Schauder degree theory, we...

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Bibliographic Details
Main Author: Zu Jian
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Boundary Value Problems
Online Access:http://www.boundaryvalueproblems.com/content/2011/192156
Description
Summary:<p/> <p>We study periodic solutions for nonlinear second-order ordinary differential problem <inline-formula> <graphic file="1687-2770-2011-192156-i1.gif"/></inline-formula>. By constructing upper and lower boundaries and using Leray-Schauder degree theory, we present a result about the existence and uniqueness of a periodic solution for second-order ordinary differential equations with some assumption.</p>
ISSN:1687-2762
1687-2770