Lagrangian Stability of a Class of Second-Order Periodic Systems

被引：0
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作者：
Shunjun Jiang
Junxiang Xu
Fubao Zhang
机构：
[1] Southeast University,Department of Mathematics
来源：
Boundary Value Problems | / 2011卷
关键词：
Equivalent System; Hamiltonian Structure; Reversible Mapping; Differential Equation System; Reversible System;
D O I：
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学科分类号：
摘要：
We study the following second-order differential equation: [inline-graphic not available: see fulltext], where [inline-graphic not available: see fulltext]  ([inline-graphic not available: see fulltext]), [inline-graphic not available: see fulltext] and [inline-graphic not available: see fulltext] are positive constants, and [inline-graphic not available: see fulltext] satisfies [inline-graphic not available: see fulltext]. Under some assumptions on the parities of [inline-graphic not available: see fulltext] and [inline-graphic not available: see fulltext], 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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