A uniqueness and existence theorem for a singular third-order boundary value problem on [0, ∞)

被引：39

作者：

Jiang, DQ ^{[1
]}

Agarwal, RP

机构：

[1] NE Normal Univ, Dept Math, Changchun 130024, Peoples R China

[2] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore

来源：

APPLIED MATHEMATICS LETTERS | 2002年 / 15卷 / 04期

基金：

中国国家自然科学基金;

关键词：

singular third-order boundary value problem; singular nonlinear second-order initial value problem; positive solution; uniqueness; existence;

D O I：

10.1016/S0893-9659(01)00157-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is proved that the singular third-order boundary value problem y''' = f (y), y(0) = 0, y(+infinity) = 1, y'(+oinfinity) = y"(+infinity) = 0, has a unique solution. Here f(y) = (I - y)(lambda)g(y), lambda > 0, g(y) is positive and continuous on (0, 1]. The problem arises in the study of draining and coating flows. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：445 / 451

页数：7

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