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Existence of traveling wave solutions for a nonlocal bistable equation: an abstract approach

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 نشر من قبل Hiroki Yagisita
 تاريخ النشر 2008
  مجال البحث
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 تأليف Hiroki Yagisita




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We consider traveling fronts to the nonlocal bistable equation. We do not assume that the Borel-measure is absolutely continuous with respect to the Lebesgue measure. We show that there is a traveling wave solution with monotone profile. In order to prove this result, we would develop a recursive method for abstract monotone dynamical systems and apply it to the equation.



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