Properties of positive solution for nonlocal reaction-diffusion equation with nonlocal boundary

被引：20
|
作者：
Wang, Yulan [1 ]
Mu, Chunlai
Xiang, Zhaoyin
机构：
[1] Xihua Univ, Sch Math & Comp Engn, Chengdu 610039, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
[3] Univ Elect Sci & Technol China, Sch Appl Math, Chengdu 610054, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2007年 / 2007卷 / 1期
关键词：
D O I：
10.1155/2007/64579
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers the properties of positive solutions for a nonlocal equation with nonlocal boundary condition u(x, t) = integral(Omega)f(x, y)u(y, t)dy on partial derivative Omega x (0, T). The conditions on the existence and nonexistence of global positive solutions are given. Moreover, we establish the uniform blow-up estimates for the blow-up solution. Copyright (c) 2007 YulanWang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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页数：12
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