Dependence of eigenvalues of 2mth-order spectral problems

作者：Zheng, Zhaowen^*; Ma, Yujuan

来源：Boundary Value Problems, 2017, 2017(1): 126.

DOI：10.1186/s13661-017-0857-y

• 2mth-order spectral problem
• eigenvalues
• Frechet derivative
• dependence of eigenvalues on the problem

A regular 2mth-order spectral problem with self-adjoint boundary conditions is considered in this paper. The continuous dependence of eigenvalues and normalized eigenfunctions on the problem is researched. The derivative formulas of eigenvalues with respect to the given parameters are obtained: endpoints, boundary conditions, coefficients and the weight function. These are of both theoretical and computational importance.

• 出版日期2017-8-29
• 单位曲阜师范大学