EXISTENCE AND UNIQUENESS OF SOLUTIONS OF A CLASS OF 2-POINT SINGULAR NONLINEAR BOUNDARY-VALUE-PROBLEMS

被引：12
|
作者：
ELGEBEILY, MA
BOUMENIR, A
ELGINDI, MBM
机构：
[1] KING FAHD UNIV PETR & MINERALS,DEPT MATH SCI,DHAHRAN,SAUDI ARABIA
[2] MICHIGAN STATE UNIV,DEPT MATH,E LANSING,MI 48824
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1993年 / 46卷 / 03期
关键词：
SINGULAR 2-POINT BOUNDARY VALUE PROBLEMS; EXISTENCE; UNIQUENESS; LIMIT CIRCLE CASE; LIMIT POINT CASE; MONTONE OPERATORS; CONTRACTION MAPPING THEOREM;
D O I：
10.1016/0377-0427(93)90031-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the existence and uniqueness of solution of a class of two-point singular nonlinear boundary value problems. It is shown that the problem has a unique solution only for certain boundary conditions under the assumption that the range of partial derivative f/partial derivative y has empty intersection with the closure of the spectrum of the singular differential operator, where f denotes the nonlinearity.
引用
收藏
页码：345 / 355
页数：11
相关论文
共 50 条
12345