具有混合型边界条件的左定Sturm-Liouville问题特征值的下标计算(英文)  

Indices of Eigenvalues of Left-definite Sturm-Liouville Problems with Coupled Boundary Conditions

作　　者：张艳霞[1] 张学锋[2] 

机构地区：[1]安徽工业大学数理学院,安徽马鞍山243002 [2]安徽工业大学计算机学院,安徽马鞍山243002

出　　处：《应用数学》2012年第2期311-317,共7页Mathematica Applicata

基　　金：Supported by the Foundation for Young Teacher by Anhui Provincial Education Department(2011SQRL029);the National Natural Science Foundation of China(41074132)

摘　　要：本文研究具有混合型边界条件的左定Sturm-Liouvile问题特征值的下标计算问题.首先给出具有分离型边界条件和混合型边界条件的左定Sturm-Liouville问题的特征值之间的不等式;然后利用这个结果给出一种计算混合型边界条件下左定Sturm-Liouville问题特征值下标的方法.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 

分 类 号：O177.1[理学—数学]