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两类离散哈密顿系统极限点型的判定
引用本文:周美秀,王欣阵.两类离散哈密顿系统极限点型的判定[J].应用泛函分析学报,2009,11(4):369-376.
作者姓名:周美秀  王欣阵
作者单位:浙江长征职业技术学院基础部,杭州,310023
摘    要:利用算子的谱理论及经典的不等式,讨论两类离散哈密顿系统,得出半退化型系统为强极限点型以及Dirac型系统为极限点型的一些判别准则.

关 键 词:微分算子  差分算子  极限点型  强极限点型

Limit Point Criteria for Two Classes of Discrete Hamiltonian Systems
ZHOU Mei-xiu,WANG Xin-zhen.Limit Point Criteria for Two Classes of Discrete Hamiltonian Systems[J].Acta Analysis Functionalis Applicata,2009,11(4):369-376.
Authors:ZHOU Mei-xiu  WANG Xin-zhen
Institution:( Basic Department, Zhejiang Changzheng Professional & Technical College, Hangzhou 310023, China)
Abstract:Using the spectral theory of self-adjoint operators in a Hilbert space and some inequalities, Strong limit point criteria for.semi-degenerate system and limit point criteria for Dirac systems are established.
Keywords:differential operator  difference operator limit piont (limit circle) case  strong limit piont case
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