Dependence of eigenvalues of 2 m th-order spectral problems

Boundary value problems

Yujuan Ma¹  Zhaowen Zheng¹ 

[1] School of Mathematical Sciences, Qufu Normal University, Qufu, P.R. China

关键词: 2mth-order spectral problem;    eigenvalues;    Frechet derivative;    dependence of eigenvalues on the problem;   

DOI  :  10.1186/s13661-017-0857-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY