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Boundary Value Problems
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  • Research Article
  • Open Access

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

Boundary Value Problems20072007:064579

https://doi.org/10.1155/2007/64579

©  Yulan Wang et al. 2007

  • Received: 21 January 2007
  • Accepted: 11 April 2007
  • Published:

Abstract

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.

Keywords

  • Boundary Condition
  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation

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Authors’ Affiliations

(1)
School of Mathematics and Computer Engineering, Xihua University, Chengdu, 610039, China
(2)
Department of Mathematics, Sichuan University, Chengdu, 610064, China
(3)
School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, 610054, 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.

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