Eigenvalues of a class of regular fourth-order Sturm–Liouville problems

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摘要

The eigenvalues of a regular fourth-order Sturm–Liouville (SL) problems depend not only continuously but smoothly on the problem. An expression for the derivative of the eigenvalues with respect to a given parameter: an endpoint, a boundary condition, a coefficient, or the weight function, are found.

论文关键词:Fourth-order Sturm–Liouville problems,Eigenvalues,Dependence of eigenvalues on the boundary

论文评审过程:Available online 4 April 2012.

论文官网地址:https://doi.org/10.1016/j.amc.2012.03.015