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二阶离散Hamiltonian系统的多重变号周期解

, PP. 462-466

Keywords: 变号周期解,离散Hamilton系统,临界点

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Abstract:

研究了二阶非自治离散Hamilton系统多重变号周期解的存在性问题.在非线性项是奇函数的条件下,将这类Hamilton系统的变号周期解转化为定义在一个适当空间上泛函的临界点,然后利用Morse理论中的三临界点定理,建立了此类系统至少2个变号周期解的存在性结果,并举例说明了所获得的主要结果是有效的.

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