Lagrangian Stability of a Class of Second-Order Periodic Systems
Department of Mathematics, Southeast University, Nanjing 210096, China
Boundary Value Problems 2011, 2011:845413 doi:10.1155/2011/845413Published: 11 January 2011
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.