Multiplicity of Sturm–Liouville eigenvalues

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摘要

The geometric multiplicity of each eigenvalue of a self-adjoint Sturm–Liouville problem is equal to its algebraic multiplicity. This is true for regular problems and for singular problems with limit-circle endpoints, including the case when the leading coefficient changes sign.

论文关键词:Eigenvalues,Multiplicity,Sturm–Liouville,Singular boundary conditions

论文评审过程:Received 8 August 2003, Available online 1 July 2004.

论文官网地址:https://doi.org/10.1016/j.cam.2004.01.036