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J4 ›› 2010, Vol. 45 ›› Issue (3): 76-79.

• 论文 • 上一篇    下一篇

奇异线性离散哈密顿系统极限点型的判定

孙华清   

  1. 山东大学威海分校数学与统计学院, 山东 威海 264209
  • 收稿日期:2009-09-03 出版日期:2010-03-16 发布日期:2010-04-02
  • 作者简介:孙华清(1973-),女, 博士, 讲师, 研究方向为微分方程谱理论.Email: sunhuaqing-2@163.com
  • 基金资助:

    山东省自然科学基金资助项目(Y2008A02);山东大学威海分校资助项目(0000507300012)

Limit point criteria for singular linear discrete Hamiltonian systems

 SUN Hua-Qing   

  1. School of Mathematics and Statistics, Shandong University at Weihai, Weihai 264209, Shandong, China
  • Received:2009-09-03 Online:2010-03-16 Published:2010-04-02

摘要:

考虑一类奇异线性离散Hamilton系统,建立了利用系统权函数与系数表示的两个极限点型的判别准则。
 

关键词: Hamilton系统; 极限点型; 亏指数

Abstract:

A class of singular discrete linear Hamiltonian systems was studied. Two sufficient conditions for the limit point case were established in terms of the weight function and the coefficients of the Hamiltonian systems.
 

Key words: Hamiltonian system; limit point case; defect index

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