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自伴边界条件的分类问题 被引量:4

CLASSIFY PROBLEM OF SELF-ADJOINT BOUNDARY CONDITIONS
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摘要 给出分离自伴边界条件与耦合自伴边界条件之间的关系。 Given a relations of two order separated self-adjoint boundary conditions and coupled self-adjoint boundary conditions.
出处 《内蒙古农业大学学报(自然科学版)》 CAS 北大核心 2009年第4期273-276,共4页 Journal of Inner Mongolia Agricultural University(Natural Science Edition)
基金 内蒙古自治区高等学校科学研究项目(NJzy08210) 河套大学重点科学研究项目(HDZ08003)
关键词 自伴的Sturm-Liouville问题 耦合边界条件 分离边界条件. Self-adjoint Sturm-Liouville problems coupled boundary conditions separated boundary conditions.
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参考文献1

  • 1Q.Kong,H.Wu&A.Zettl:Geometric aspects of Sturm-Liouville problems,I.Structures on spaces of boundary conditions[J].Proc.Royal Soc.Ediinburgh.2000,130A:561-589.

同被引文献36

  • 1杨秋霞,王万义,张新艳.一类右定Sturm-Liouville问题本征的渐近分析[J].内蒙古师范大学学报(自然科学汉文版),2007,36(1):43-47. 被引量:2
  • 2Kong Q, W u H, Zettl A. Geometric aspects of Sturm-Liouville problems, Structures on spaces of boundary conditions [J]. Proe Royal Soc Edinburgh, 2000,130A, 561-589.
  • 3Zettl A. Sturm-Liouville Theory [M]. Math Surveys Monography,2005.
  • 4Wang Zhong, Wu Hongyou. The Index Problem for Eigenvalues for Coupled Boundary Conditions and Fulton's Conjecture [J]. Monatshefte filr Mathematik,2009,157(2): 177-191.
  • 5Peng W,Racovitan M,Wu H. Geometric aspects of Sturm-Liouville problems, V. Natural loops of boundary conditions for monotonicity of eigenvalues and their applications [J]. Spectral Math AppI, 2006,1(1):1-23.
  • 6CaP X, Kong Q, Wu H, et al. Geometric aspects of Sturm-Liouville problems, m. Level surfaces of the n-th eigenvalue [J]. Comp AppI Math,2006,10,1-18.
  • 7Eastham M, Kong Q. Wu H, et al. Inequalities among eigenvalues of Sturm-Liouville problems [J]. Inequalities Appl, 1999(3) : 25-43.
  • 8CaP X,Kong Q,Wu H,et al. Sturm-Liouville problems whose leading coefficient function changes sign [J]. Canadian J Math,2003,55 : 724-749.
  • 9Binding P,Volkmer H. Oscillation theory for Sturm-Liouville problems with indefinite coefficients [J]. Proc Royal Soc Edinburgh A, 2001,131 : 989-1002.
  • 10A. Zettl. Sturm- Liouville Theory [M]. Math. Surveys& Monographyl21. American Math. Soc. Providence, RI, 2005.

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