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摘要: |
研究二阶系统:
¨u(t)+q(t)u(t)+F(t,u(t))=0,
u(0)-{ u(T)=u(0)-u(T)=0,
a.e.t∈[0,T]的周期解的存在性,通过使用临界点理论中的极大极小方法获得了一个新的存在性定理 |
关键词: 周期解 极大极小方法 广义山路定理 条件(C) |
DOI: |
分类号: |
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Periodic Solutions to Second Order Hamiltonian Systems with Damping Term |
Wang Shao-min
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Abstract: |
The existence of periodic solutions to the follow second order systems is studied¨u(t)+q(t)u(t)+F(t,u(t))=0,
u(0)-{ u(T)=u(0)-u(T)=0,
a.e.t∈[0,T] A new existence theorem is obtained by the minimax metheods in critical point theory. |
Key words: periodic solutions the minimax methods generalized moutain pass theorem condition(c) |