Perron Theorem in the monotone iteration method for traveling waves in delayed reaction-diffusion equations |
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Authors: | Amin Boumenir |
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Affiliation: | Department of Mathematics, University of West Georgia, Carrollton, GA 30118, USA |
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Abstract: | In this paper we revisit the existence of traveling waves for delayed reaction-diffusion equations by the monotone iteration method. We show that Perron Theorem on existence of bounded solution provides a rigorous and constructive framework to find traveling wave solutions of reaction-diffusion systems with time delay. The method is tried out on two classical examples with delay: the predator-prey and Belousov-Zhabotinskii models. |
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Keywords: | 35K55 35R10 |
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