Boundary value problems associated with Hamiltonian systems coupled with positively-(p, q)-homogeneous systems

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Abstract

We study the multiplicity of solutions for a two-point boundary value problem of Neumann type associated with a Hamiltonian system which couples a system with periodic Hamiltonian in the space variable with a second one with positively-(pq)-homogeneous Hamiltonian. The periodic problem is also treated.

与正-(p, q)-均质系统耦合的哈密顿系统相关的边值问题
摘要 我们研究了与哈密顿系统相关的诺伊曼型两点边界值问题的解的多重性,该哈密顿系统将空间变量中具有周期性哈密顿的系统与第二个具有正(p,q)均质哈密顿的系统耦合在一起。周期问题也得到了处理。
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