Open Access Research Article

Lagrangian Stability of a Class of Second-Order Periodic Systems

Shunjun Jiang, Junxiang Xu* and Fubao Zhang

Author affiliations

Department of Mathematics, Southeast University, Nanjing 210096, China

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Citation and License

Boundary Value Problems 2011, 2011:845413  doi:10.1155/2011/845413

Published: 11 January 2011

Abstract

We study the following second-order differential equation: , where   (), and are positive constants, and satisfies . Under some assumptions on the parities of and , by a small twist theorem of reversible mapping we obtain the existence of quasiperiodic solutions and boundedness of all the solutions.