Exponential stability of traveling waves for non-monotone delayed reaction-diffusion equations
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Date
2016-03-29
Authors
Liu, Yixin
Yu, Zhixian
Xia, Jing
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Stability, Non-monotone, Weighted energy method
Citation
Liu, Y., Yu, Z., & Xia, J. (2016). Exponential stability of traveling waves for non-monotone delayed reaction-diffusion equations. <i>Electronic Journal of Differential Equations, 2016</i>(86), pp. 1-15.
Rights
Attribution 4.0 International