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

作　　者：潘俊蓬 陈莹莹 Pan Junpeng;Chen Yingying(School of Mathematics and Statistics,North China University of Water Resources and Electric Power,Zhengzhou 450046,China)

机构地区：[1]华北水利水电大学数学与统计学院,河南郑州450046

出　　处：《洛阳师范学院学报》2024年第2期1-6,共6页Journal of Luoyang Normal University

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.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 equations 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 

分 类 号：O175.2[理学—数学]