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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