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Lagrangian Stability of a Class of Second-Order Periodic Systems

Author(s): Jiang Shunjun | Xu Junxiang | Zhang Fubao

Journal: Boundary Value Problems
ISSN 1687-2762

Volume: 2011;
Issue: 1;
Start page: 845413;
Date: 2011;
Original page

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.

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