AN OSCILLATION METHOD FOR 4TH-ORDER, SELF-ADJOINT, 2-POINT BOUNDARY-VALUE-PROBLEMS WITH NONLINEAR EIGENVALUES

被引：36

作者：

GREENBERG, L

机构：

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1991年 / 22卷 / 04期

关键词：

EIGENVALUE; EIGENFUNCTION; SELF-ADJOINT; OSCILLATION; ENERGY INNER PRODUCT; WRONSKIAN; STURMLIOUVILLE EQUATION;

D O I：

10.1137/0522067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An oscillation method is presented for finding the eigenvalues of a fourth-order, self-adjoint, two-point boundary value problem. The eigenvalue may occur nonlinearly in the differential equation, and may occur in the boundary conditions. The method can approximate the nth eigenvalue without consideration of other eigenvalues. It provides an a posteriori error estimate for the approximate eigenvalue.

引用

页码：1021 / 1042

页数：22

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