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奇异线性离散哈密顿系统极限点型的判定

Limit point criteria for singular linear discrete Hamiltonian systems
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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。 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.
作者 孙华清
机构地区 山东大学威海分校数学与统计学院
出处 《山东大学学报（理学版）》 CAS CSCD 北大核心 2010年第3期76-79,共4页 Journal of Shandong University(Natural Science)
基金 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)
关键词 HAMILTON系统 极限点型 亏指数 Hamiltonian system limit point case defect index
分类号 O175.3 [理学—基础数学]
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参考文献15

  • 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.

二级参考文献14

  • 1[9]Bohner M.Discrete linear Hamihonian eigenvalue problem[J].Comput.Math.Appl.,1998,36,179-192.
  • 2[10]Chen Shao-zhu,Erbe L.Oscillation results for second order scalar and matrix difference equations[J].Comput.Math.AppL,1994,28:55-69.
  • 3[11]Chen Jing-nian,Shi Yu-ming.The limit circle and limit piont criteria for second order linear difference equations[J].Computers Math.Applic.,2004,47:967-976.
  • 4[12]Qi Jian-gang,Chen Shao-zhu.Lower bound for the spectrum and the presence of pure point spectrum of a singular discrete Hamihonian systems[J].J.Math.Anal.,2004,295,539-556.
  • 5[13]Clark S L,Gesztesy F.On Weyl-Titchmarsh theory for singular finite difference Hamihonian systems[J].J.Comput.Appl.,2004,171:151-184.
  • 6[14]Shi Yu-ming.Weyl-Titchmarsh theory for a class of discrete linear Hamihonian systems[J].Linear Algebra Appl.,2006,416,452-519.
  • 7[1]Atkinson F V.Discrete and continuous boundary problems[M].New York,Academic Press,1964.
  • 8[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.
  • 9[3]Hille E.Lecture on ordinary differential equations[M].London..Addison-Weyt,1969.
  • 10[4]Qi Jian-gang,Chen Shao-zhu.Strong limit-point classification of singular Hamihonian expressions[J].Proc.Amer.Math.Soc.,2004,132,1887-1674.
山东大学学报（理学版）
2010年 第3期

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