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Dirac型离散哈密顿系统的极限点型的判定 被引量：1

Limit Point Criteria for two Classes of Discrete Hamiltonian Systems
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摘要 文章主要讨论了Dirac型离散哈密顿系统的亏指数问题,并给出该系统为极限点型的一些判别准则. In this paper, several sufficient conditions for strong limit point case of Dirac discrete Hamiltonian systems are established.
作者 周美秀 王欣阵 景海斌
机构地区 浙江长征职业技术学院基础部
出处 《杭州师范学院学报（自然科学版）》 2008年第1期40-44,共5页 Journal of Hangzhou Teachers College(Natural Science)
关键词 微分算子 差分算子 极限点型(极限圆型) 强极限点型 differential operator difference operator limit point（limit circle） case strong limit point case
分类号 O174.92 [理学—基础数学]
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参考文献14

  • 1[1]Atkinson F V.Discrete and continuous boundary problems[M].New York,Academic Press,1964.
  • 2[2]Hinton D B,Shaw J K.On titchmarsh-Weyt M(λ)-functions for linear Hamiltonian systems[J].J.Differential Equations,1981,40,316-342.
  • 3[3]Hille E.Lecture on ordinary differential equations[M].London..Addison-Weyt,1969.
  • 4[4]Qi Jian-gang,Chen Shao-zhu.Strong limit-point classification of singular Hamihonian expressions[J].Proc.Amer.Math.Soc.,2004,132,1887-1674.
  • 5[5]Agarwal R P,Ahlbrandt C D,Bohner M,et al.Discrete hamiltonian systems,a survey[J].Dynam.Systems Appl,1999,8,307-333.
  • 6[6]Ahlbrandt C D.Equivalence of discrete Euler equations and discrete Hamiltonian systems[J].J.Math.AnaL Appl.,1993,180:498-517.
  • 7[7]Ahlbrandt C D,Peterson A C.Discrete Hamihonian systems[M].Dordrecht:Kluwer Academic,1996.
  • 8[8]Bohner M.Linear Hamihonian difference systems:disconjugacy and Jacobi-type conditions[J].J.Math.Anal.Appl.,1996,199:383-394.
  • 9[9]Bohner M.Discrete linear Hamihonian eigenvalue problem[J].Comput.Math.Appl.,1998,36,179-192.
  • 10[10]Chen Shao-zhu,Erbe L.Oscillation results for second order scalar and matrix difference equations[J].Comput.Math.AppL,1994,28:55-69.

同被引文献14

  • 1SHI Y. Weyl-Titchmarsh theory for a class of discrete linear Hamiltonian systems[ J]. Linear Algebra Appl, 2006, 416:452- 519.
  • 2WEYL H. Ober gewohnliche differential-gleichungen mit Singularitaten und die zugehodgen Entwicklungen [J]. Math Ann, 1910, 68:220-269.
  • 3ATKINSON F V. Discrete and Continuous Boundary Problems[M]. New York: Academic Press, 1964.
  • 4CODDINGTON E A, LEVINSON N. Theory of ordinary differential equations[M]. New York: McGraw-Hill, 1955.
  • 5DUNFORD N, SCHWARTZ J T. Linear operators(Ⅱ) [M]. New York:Wiley-Interscience, 1963.
  • 6KRALL A M. A limit point criterion for linear Hamiltonian systems[J]. Appl Anal, 1996, 61:115-119.
  • 7QI J, CHEN S. Strong limit-point classification of singular Hamiltonian expressions with complex coefficients [ J ]. Proc Amer Math Soc, 2004, 132:1667-1674.
  • 8QI J, zaoo S. Limit-point criterion for singular linear dime differential systems[ J ]. Computers Math Applic, 2005, 49:765- 775.
  • 9SHI Y. On the rank of the matrix radius of the limiting set for a singular linear Hamiltonian system[J]. Linear Algebra Appl, 2004, 376: 109-123.
  • 10TITCHMARSH E C. Eigenfunctions expansions[M]. Oxford: Oxford University Press, 1962.

引证文献1

杭州师范学院学报（自然科学版）
2008年 第1期

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