Existence and uniqueness of traveling waves for non-monotone integral equations with applications |
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| Authors: | Jian Fang Xiao-Qiang Zhao |
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| Affiliation: | a Department of Mathematics, Harbin Institute of Technology, Harbin 150001, PR China
b Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NL A1C 5S7, Canada |
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| Abstract: | A class of integral equations without monotonicity is investigated. It is shown that there is a spreading speed c∗>0 for such an integral equation, and that its limiting integral equation admits a unique traveling wave (up to translation) with speed c?c∗ and no traveling wave with c<c∗. These results are also applied to some nonlocal reaction-diffusion population models. |
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| Keywords: | 35B30 35R10 45M20 92D25 |
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