Perron Theorem in the Monotone Iteration Method for Traveling Waves in Delayed Reaction-Diffusion Equations

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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.
17 pages. To appear in Journal of Differential Equations

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Dynamical Systems, 35K55; 35R10

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http://salesiana.dossiersoluciones.com/handle/123456789/145504

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612196
 http://arxiv.org/abs/math/0612196

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arXiv