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Existence of fast positive wavefronts for a non-local delayed reaction–diffusion equation

✍ Scribed by Maitere Aguerrea

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
836 KB
Volume
72
Category
Article
ISSN
0362-546X

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✦ Synopsis

We establish the existence of a continuous family of fast positive wavefronts u(t, x) = φ(x+ct), φ(-∞) = 0, φ(+∞) = κ, for the non-local delayed reaction-diffusion equation

Here 0 and κ > 0 are fixed points of g ∈ C 2 (R + , R + ) and the non-negative K is such that R K (w)e λw dw is finite for every real λ. We also prove that the fast wavefronts are non-monotone if g (κ)he h+1 < -1.

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