THE ASYMPTOTIC-DISTRIBUTION OF THE EIGENVALUES OF RIGHT DEFINITE MULTIPARAMETER STURM-LIOUVILLE SYSTEMS

被引：2

作者：

RYNNE, BP ^{[1
]}

机构：

[1] HERIOT WATT UNIV,DEPT MATH,EDINBURGH EH14 4AS,MIDLOTHIAN,SCOTLAND

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 1993年 / 36卷

关键词：

D O I：

10.1017/S0013091500005873

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies the asymptotic distribution of the multiparameter eigenvalues of a right definite multiparameter Sturm-Liouville eigenvalue problem. A uniform asymptotic analysis of the oscillation number of solutions of a single Sturm-Liouville type equation with potential depending on a general parameter is given; these results are then applied to the system of multiparameter Sturm Liouville equations to give the asymptotic eigenvalue distribution for the system as a function of a ''multi-index'' oscillation number.

引用

页码：35 / 47

页数：13