Teresa Faria

  1. Positive travelling fronts for reaction-diffusion systems with distributed delay.

    Authors: Sergei Trofimchuk, Teresa Faria
    Subjects: Classical Analysis and ODEs
    Abstract

    We give sufficient conditions for the existence of positive travelling wave
    solutions for multi-dimensional autonomous reaction-diffusion systems with
    distributed delay. To prove the existence of travelling waves, we give an
    abstract formulation of the equation for the wave profiles in some suitable
    Banach spaces, and apply known results about the index of some associated
    Fredholm operators.

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