Traveling Wavefront Solutions for Reaction-Diffusion Equation with Small Delay

抄録

The paper is devoted to study of traveling wavefronts of reaction-diffusion system with small discrete delay, where the reaction term is not necessarily monotone or quasi-monotone. By applying the theory of inertial manifold for small discrete delay equation, we prove the existence result of traveling wavefronts of reaction-diffusion system with small time delay.