应用数学2012，Vol.25Issue(2)：311-317,7.
具有混合型边界条件的左定Sturm-Liouville问题特征值的下标计算
Indices of Eigenvalues of Left-definite Sturm-Liouville Problems with Coupled Boundary Conditions
摘要
Abstract
In this paper,we study the indices of left-definite regular self-adjoint Sturm-Liouville problems with coupled boundary conditions.Firstly,we establish a sequence of inequalities among the eigenvalues for Sturm-Liouville problems with separated and coupled boundary conditions.And then,using these results,we construct an algorithm for computing the indices of eigenvalues for the Sturm-Liouville problems.关键词
Sturm-Liouville问题/右定性/左定性/下标/特征值不等式Key words
Sturm-Liouville problem/Right-definiteness/Left-definiteness/Index/Eigenvalue inequality分类
数理科学引用本文复制引用
张艳霞,张学锋..具有混合型边界条件的左定Sturm-Liouville问题特征值的下标计算[J].应用数学,2012,25(2):311-317,7.基金项目
Supported by the Foundation for Young Teacher by Anhui Provincial Education Department(2011SQRL029),and the National Natural Science Foundation of China(41074132) （2011SQRL029）
