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常微分方程的特征值问题 被引量:2

Eigenvalue problems for ordinary differential equations
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摘要 本文讨论了常微分方程:μ″+λμ=0,0<t<1在几类边界条件下的特征值问题。 In the Paper,the eigenvalue problems for ordinary differential equation(ODE):μ″+λμ=0 are discussed with boundary value conditions and the existence theorems are gotten.
作者 李迎春
出处 《青海师范大学学报(自然科学版)》 2003年第4期15-17,共3页 Journal of Qinghai Normal University(Natural Science Edition)
关键词 常徽分方程 特征值 存在性 ODE Eigenvalue Problems existence
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参考文献3

  • 1II'in V A, Moissv E I. Non - local Boundary Value Problem of the First Kind for a Sturm - Liouville Operalor in Its Diffecential and fufite Difference Aspects[J]. Differential Equations, 1987.23(7) :803 - 810.
  • 2Feng W, Webb I R L ,Solvability of a three - point Nodinear Boundary Value Problem at Resonance[J]. Nonlinear Analysis TMA, 1997,30(6 ): 3227- 3238.
  • 3Hai D D. Positive Sdutims for Semi- linear Elliptic Equations in Annular Dimains[J] .Nonlinear Analysis, 1999,37:1051 - 1058.

同被引文献4

  • 1Moissv E I.Non-local boundary value problem of the first kind for a Sturm-Liouville operator in its differential and finite difference aspects[J].Differential Equations,1987,23(7):803-810.
  • 2Feng W,Webb J R L.Solvability of a three-point nonlinear boundary value problem at resonance[J].Nonlinear Analysis TMA,1997,30(6):3227-3238.
  • 3Hai D D.Positive solutions for semi-linear elliptic equations in annular domains[J].Nonlinear Analysis,1999,37(3):1051-1058.
  • 4吴小庆.数学物理方程[M].成都:电子科技大学出版社,2004:55-57.

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