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

Boundary Value Problems volume 2007, Article number: 064579 (2007) Cite this article

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.

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Authors and Affiliations

  1. School of Mathematics and Computer Engineering, Xihua University, Chengdu, 610039, China

    Yulan Wang

  2. Department of Mathematics, Sichuan University, Chengdu, 610064, China

    Yulan Wang & Chunlai Mu

  3. School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, 610054, China

    Zhaoyin Xiang

Authors
  1. Yulan Wang
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  2. Chunlai Mu
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  3. Zhaoyin Xiang
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Correspondence to Yulan Wang.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Wang, Y., Mu, C. & Xiang, Z. Properties of Positive Solution for Nonlocal Reaction-Diffusion Equation with Nonlocal Boundary. Bound Value Probl 2007, 064579 (2007). https://doi.org/10.1155/2007/64579

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

Keywords

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