Research Article
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:10.1155/2011/845413
Published: 11 January 2011Abstract
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.
