半退化型离散哈密顿系统强极限点型的判定

上海大学学报(自然科学版) ›› 2010, Vol. 16 ›› Issue (2): 170-173.

半退化型离散哈密顿系统强极限点型的判定

周美秀1 ,2 ,王欣阵1 ,綦建刚3

1.浙江长征职业技术学院,浙江杭州 310012; 2.浙江教育学院,浙江杭州 310012;3.山东大学威海分校,山东威海 264209

收稿日期:2009-07-10 出版日期:2010-04-20 发布日期:2010-04-20
通讯作者: 周美秀(1969～)，女，副教授,研究方向为微分方程. E-mail:zwy950120@163.com
基金资助:
山东省自然科学基金资助项目（Y2008A02）

Strong Limit-Point Criteria for Semi-Degenerate Discrete Hamiltonian Systems

ZHOU Mei-Xiu-1, 2, WANG Xin-Zhen-1, QI Jian-Gang-3

1.Zhejiang Changzheng Vocational and Technical College, Hangzhou 310012, Zhejiang, China;2. Zhejiang Education Institute, Hangzhou 310012, Zhejiang, China;3. Shandong University at Weihai, Weihai 264209, Shandong, China

Received:2009-07-10 Online:2010-04-20 Published:2010-04-20

摘要/Abstract

摘要：

讨论奇异的半退化型离散哈密顿系统,通过算子的谱理论得到该系统为强极限点型的判别准则.

关键词: 差分算子;极限点型;强极限点型

Abstract:

Sufficient conditions for strong limit-point case of semi-degenerate discrete Hamiltonian systems are obtained by using the spectral theory of self-adjoint operators in a Hilbert space. 

Key words: difference operator; limit-point case; strong limit-point case

中图分类号:

O 175.75

周美秀1 ,2 ,王欣阵1 ,綦建刚3. 半退化型离散哈密顿系统强极限点型的判定[J]. 上海大学学报(自然科学版), 2010, 16(2): 170-173.

ZHOU Mei-Xiu-1, 2, WANG Xin-Zhen-1, QI Jian-Gang-3. Strong Limit-Point Criteria for Semi-Degenerate Discrete Hamiltonian Systems[J]. Journal of Shanghai University（Natural Science Edition）, 2010, 16(2): 170-173.