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.
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页码：445 / 451
页数：7
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