ASYMPTOTICS OF EIGENCURVES FOR 2ND-ORDER ORDINARY DIFFERENTIAL-EQUATIONS .1.

被引：37

作者：

BINDING, P

BROWNE, PJ

机构：

[1] Department of Mathematics and Statistics, University of Calgary, Calgary

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1990年 / 88卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1016/0022-0396(90)90107-Z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The regular two parameter Sturm-Liouville equation -(py′)′ + qy = (λf - μr)y is studied for L1 coefficients with p, r > 0. For each fixed number n of internal zeros of the eigenfunctions y, μ = μn is analytic in λ. Necessary and sufficient conditions (which are in fact independent of n) are given for lim μn gl to exist as λ → ∞ (or -∞). Asymptotic expansions for μn are derived in cases of existence and non-existence of lim μn λ. © 1990.

引用

页码：30 / 45

页数：16

共 16 条

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Atkinson FV., 1964, DISCRETE CONTINUOUS

[2]

ATKINSON FV, 1986, J MATH, P330

[3]

Binding P., 1988, APPL ANAL, V29, P107

[4]

BINDING PA, IN PRESS J DIFFERENT