BOUNDS ON EIGENVALUES OF STURM-LIOUVILLE PROBLEMS WITH DISCONTINUOUS COEFFICIENTS

被引：11

作者：

HORGAN, CO ^{[1
]}

NEMATNASSER, S ^{[1
]}

机构：

[1] NORTHWESTERN UNIV,INST TECHNOL,EVANSTON,IL 60201

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1979年 / 30卷 / 01期

关键词：

D O I：

10.1007/BF01597482

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with obtaining upper and lower bounds for the eigenvalues of Sturm-Liouville problems with discontinuous coefficients. Such problems occur naturally in many areas of composite material mechanics. The problem is first transformed by using an analog of the classical Liouville transformation. Upper bounds are obtained by application of a Rayleigh-Ritz technique to the transformed problem. Explicit lower bounds in terms of the coefficients are established. Numerical examples illustrate the accuracy of the results. © 1979 Birkhäuser Verlag.

引用

页码：77 / 86

页数：10

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