Uniqueness and parameter dependence of solutions of second-order boundary value problems

被引：9

作者：

Kong, Lingju ^{[1
]}

Kong, Qingkai ^{[2
]}

机构：

[1] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA

[2] No Illinois Univ, Dept Math, De Kalb, IL 60115 USA

来源：

APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 11期

关键词：

Positive solutions; Boundary value problems; Uniqueness; Dependence on parameters; Normal solid cones; POSITIVE SOLUTIONS; EXISTENCE; EQUATIONS; CRITERIA;

D O I：

10.1016/j.aml.2009.05.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the boundary value problem with nonhomogeneous multi-point boundary condition u '' + a(t)f(u) = 0, t is an element of (0, 1), u(0) = Sigma(m)(i=1) a(i)u(t(i)) + lambda, u(1) = Sigma(m)(i=1) b(i)u(t(i)) + mu. A sufficient condition is obtained for the existence and uniqueness of a positive solution. The dependence of the solution on the parameters lambda and mu is also studied. Our work complements some results in the literature, especially those in our earlier papers [L Kong, Q. Kong, Second-order boundary value problems with non homogeneous boundary conditions I, Math. Nachr. 278 (2005) 173-193; L Kong, Q. Kong, Second-order boundary value problems with nonhomogeneous boundary conditions II, J. Math. Anal. Appl. 330 (2007) 1393-1411]. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1633 / 1638

页数：6

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