Positive solutions of a general discrete boundary value problem

被引:6
|
作者
Zhang, Guang [1 ]
Yang, Zhilin [2 ]
机构
[1] Tianjin Univ Commerce, Sch Sci, Tianjin 300134, Peoples R China
[2] Qingdao Technol Univ, Dept Math, Qingdao 266033, Peoples R China
关键词
reaction-diffusion; steady state distribution; positive solution; fixed point theorem;
D O I
10.1016/j.jmaa.2007.07.011
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the existence of positive solutions for a nonlinear general discrete boundary value problem is established. Such results extend and improve some known facts for the two-point and three-point boundary value problems. Particularly, the boundary value conditions can be nonlinear and the method is new. For explaining the main results, some numerical examples are also given. (c) 2007 Elsevier Inc. All rights reserved.
引用
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页码:469 / 481
页数:13
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