School of Mathematics and Statistics
Lanzhou University
Lanzhou, Gansu 730000, China
email: jianwensun@lzu.edu.cn
Jian-Wen Sun
Abstract:
In this article, we study the solutions of a nonlocal
dispersal equation with a spatial weight representing competitions
and aggregation. To overcome the limitations of comparison principles,
we introduce new definitions of upper-lower solutions.
The proof of existence and uniqueness of positive solutions
is based on the method of monotone iteration sequences.
Submitted April 9, 2014. Published June 20, 2014.
Math Subject Classifications: 35B40, 35K57, 92D25.
Key Words: Nonlocal dispersal; upper-lower solutions; aggregation;
existence and uniqueness.
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Jian-Wen Sun School of Mathematics and Statistics Lanzhou University Lanzhou, Gansu 730000, China email: jianwensun@lzu.edu.cn |
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