A P ] 2 4 M ay 2 00 8 Pullback Attractors for the Non-autonomous FitzHugh-Nagumo System on Unbounded Domains

Abstract

The existence of a pullback attractor is established for the singularly perturbed FitzHughNagumo system defined on the entire space Rn when external terms are unbounded in a phase space. The pullback asymptotic compactness of the system is proved by using uniform a priori estimates for far-field values of solutions. Although the limiting system has no… (More)

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