Open Access

Properties of Positive Solution for Nonlocal Reaction-Diffusion Equation with Nonlocal Boundary

Boundary Value Problems20072007:064579

DOI: 10.1155/2007/64579

Received: 21 January 2007

Accepted: 11 April 2007

Published: 30 May 2007

Abstract

This paper considers the properties of positive solutions for a nonlocal equation with nonlocal boundary condition https://static-content.springer.com/image/art%3A10.1155%2F2007%2F64579/MediaObjects/13661_2007_Article_657_IEq1_HTML.gif on https://static-content.springer.com/image/art%3A10.1155%2F2007%2F64579/MediaObjects/13661_2007_Article_657_IEq2_HTML.gif . 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.

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Authors’ Affiliations

(1)
School of Mathematics and Computer Engineering, Xihua University
(2)
Department of Mathematics, Sichuan University
(3)
School of Applied Mathematics, University of Electronic Science and Technology of China

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Copyright

© Yulan Wang et al. 2007

This article is published under license to BioMed Central Ltd. 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.