Estimation of the smallest eigenvalue of an nth-order linear boundary value problem

被引：4

作者：

Almenar, Pedro ^{[1
]}

Jodar, Lucas ^{[2
]}

机构：

[1] Vodafone Spain, Grp Networks, Avda Amer 115, Madrid 28042, Spain

[2] Univ Politecn Valencia, Inst Univ Matemat Multidisciplinar, Valencia, Spain

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 06期

关键词：

cone theory; eigenvalue; Green function; invariant subspace; Lyapunov inequality; nth‐ order linear boundary value problem; operator norm; POSITIVE SOLUTIONS; POINTS;

D O I：

10.1002/mma.7047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper describes a recursive procedure to estimate the smallest eigenvalue of an nth-order boundary value problem under a wide set of boundary conditions. The procedure yields lower and upper bounds for that eigenvalue as well as an estimation of the associated eigenfunction, both of which are shown to converge to their exact values as the recursion index grows. A simpler version of the procedure is also displayed for the self-adjoint case.

引用

页码：4491 / 4514

页数：24

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