BOUNDARY-VALUE-PROBLEMS FOR SINGULAR 2ND-ORDER FUNCTIONAL-DIFFERENTIAL EQUATIONS

被引：48

作者：

ERBE, LH ^{[1
]}

KONG, QK ^{[1
]}

机构：

[1] UNIV ALBERTA,DEPT MATH,EDMONTON,AB T6G 2G1,CANADA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1994年 / 53卷 / 03期

关键词：

SINGULAR BOUNDARY VALUE PROBLEM; EXISTENCE; UNIQUENESS;

D O I：

10.1016/0377-0427(94)90065-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider general linear boundary value problems for equations of the form y'' + f(x, y(tau(x)) = 0, 0 < x < 1, where tau(x) is continuous and f(x, y) has a singularity at y = 0. The results improve and extend earlier results for the case tau(x) = x, due to Taliaferro (1979) and Gatica et al. (1989).

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页码：377 / 388

页数：12

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