Fuguo Zhu
Abstract:
This article concerns the long time behavior of solutions to
nonlocal delay equations when the initial values decay slowly
at infinity towards the unstable steady state.
By constructing proper auxiliary functions, it is proved that the
lower bounds of asymptotic speed for spreading is larger any given
positive constant, which implies the fast propagation.
Submitted June 28, 2012. Published August 19, 2012.
Math Subject Classifications: 35C07, 35K57, 37C65.
Key Words: Fast propagation; traveling wave solutions; asymptotic spreading.
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Fuguo Zhu School of Mathematics and Statistics Hexi University Zhangye, Gansu 734000, China email: fugzhu@yeah.net |
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