一类二阶哈密顿系统解的多重性
Multiplicity of Solutions for a Class of Second-order Hamiltonian System
潘俊蓬 1陈莹莹1
作者信息
- 1. 华北水利水电大学 数学与统计学院,河南 郑州 450046
- 折叠
摘要
为证明一类二阶哈密顿系统无穷多解的存在性,运用 Bolle 提出的连续性方法,首先得到一类算子方程有无穷多解的结论,然后将该结论应用于带有非齐次边界条件的二阶哈密顿系统,得到其无穷多解存在性的结果.
Abstract
This research aims to prove the existence of infinitely many solutions for a class of second-order Hamiltonian systems.This research firstly proves the existence of infinitely many solutions for a class of operator e-quations by means of Bolle's continuity method,and then reaches the conclusion by applying the per-conclusion in the second-order Hamiltonian systems with non-homogeneous boundary conditions.
关键词
连续性方法/非齐次边界条件/二阶哈密顿系统/无穷多解Key words
continuity method/non-homogeneous boundary conditions/second-order Hamiltonian system/infinitely many solutions引用本文复制引用
出版年
2024
NETL
NSTL
万方数据