Entire solutions of integrodifference equations |
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| Authors: | Li Zhang |
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| Affiliation: | 1. School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai, People's Republic of China;2. School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, People's Republic of China |
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| Abstract: | This paper is concerned with the existence of nontrivial entire solutions of integrodifference equations. By constructing proper auxiliary integrodifference equations and functions, we present the existence of nontrivial entire solutions even if the birth function is not monotone, which are different from the well-studied travelling wave solutions. The convergence of entire solutions is also given. |
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| Keywords: | Asymptotic spreading auxiliary equation travelling wave solutions asymptotic behaviour |
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