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

页码：345 / 355

页数：11

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