# 拟单调中立型反应扩散方程行波解的唯一性Uniqueness of Traveling Wave Solutions for a Quasi-Monotone Reaction-Diffusion Equation with Neutral Type

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In present paper, we focus on the uniqueness of traveling wave solutions for a quasi-monotone reaction-diffusion equation with neutral type. By using the Ikehara’s Theorem, we firstly establish the asymptotic exponent properties of monotone traveling wave solution with speed for the reaction-diffusion equation with a infinite number of delays, which is transformed from the neutral equation by a linear variable transform, and then the uniqueness (up to translation) of monotone traveling wave solution with speed for the transformed equation. Finally, we obtain the uniqueness (up to translation) of monotone traveling wave solution with speed for the neutral equation by using the relation between solutions of the neutral equation and of the transformed equation.

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