Boundary Value Problems
Volume 2007 (2007), Article ID 64579, 12 pages
Properties of Positive Solution for Nonlocal Reaction-Diffusion Equation with Nonlocal Boundary
1School of Mathematics and Computer Engineering, Xihua University, Chengdu 610039, China
2Department of Mathematics, Sichuan University, Chengdu 610064, China
3School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, China
Received 21 January 2007; Accepted 11 April 2007
Academic Editor: Robert Finn
Copyright © 2007 Yulan Wang 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.
This paper considers the properties of positive solutions for a nonlocal equation with
nonlocal boundary condition
on . 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.