渐近线性$2p$阶脉冲哈密顿系统的多解问题
Multiple solutions for asymptotically linear $2p$-order Hamiltonian systems with impulsive effects
考虑$2p$阶脉冲哈密顿系统问题.首先,验证这一系统具有变分结构.其次,通过变分方法和临界点理论得到渐近线性$2p$阶脉冲哈密顿系统多重解的两个结论.最后,举例说明.
$2p$-order Hamiltonian systems with impulsive effects are considered. First, the variational structure associated to this system is investigated. Then, two results of multiple solutions for asymptotically linear $2p$-order Hamiltonian systems are obtained via variational method and critical point theorems.Finnally, two examples are presented to illustrate our main results.
卜玉成
数学
哈密顿系统脉冲临界点周期边界条件
Hamiltonian systemsImpulseCritical pointsPeriodic boundary conditions
卜玉成.渐近线性$2p$阶脉冲哈密顿系统的多解问题[EB/OL].(2018-02-12)[2025-08-16].http://www.paper.edu.cn/releasepaper/content/201802-71.点此复制
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