期刊论文详细信息
Boundary value problems
Dependence of eigenvalues of 2 m th-order spectral 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
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【 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   

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