Exponential stability of traveling waves for non-monotone delayed reaction-diffusion equations
Yixin Liu, Zhixian Yu, Jing Xia · DOAJ (DOAJ: Directory of Open Access Journals) · 2016
This article concerns the exponential stability of non-critical traveling waves (the wave speed is greater than the minimum speed) for non-monotone time-delayed reaction-diffusion equations. With the help of the weighted energy method, we prove that the non-critical travelling waves are exponentially stable when the initial perturbation around the wave is small.