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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.
Acknowledgments
The authors are grateful to Professor Guo Lin and two anonymous referees for their careful reading and helpful suggestions which led to a significant improvement of the original manuscript.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Funding
This work was partially supported by the National Natural Science Foundation of China (NSF) (11461040).