Exponential stability of traveling waves for non-monotone delayed reaction-diffusion equations

Exponential stability of traveling waves for non-monotone delayed reaction-diffusion equations

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 exponen...

Full description

Bibliographic Details
Main Authors: Yixin Liu, Zhixian Yu, Jing Xia
Format: Article
Language:English
Published: Texas State University 2016-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Stability
non-monotone
weighted energy method
Online Access:http://ejde.math.txstate.edu/Volumes/2016/86/abstr.html
id doaj-9f067ceec9394ba082d6f09a4d759f1f
record_format Article
spelling doaj-9f067ceec9394ba082d6f09a4d759f1f2020-11-24T22:50:45ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-03-01201686,115Exponential stability of traveling waves for non-monotone delayed reaction-diffusion equationsYixin Liu0Zhixian Yu1Jing Xia2 Univ. of Shanghai for Science and Tech., Shanghai, China Univ. of Shanghai for Science and Tech., Shanghai, China Academy of Armored Force Engineering, Beijing, China 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.http://ejde.math.txstate.edu/Volumes/2016/86/abstr.htmlStabilitynon-monotoneweighted energy method
collection DOAJ
language English
format Article
sources DOAJ
author Yixin Liu
Zhixian Yu
Jing Xia
spellingShingle Yixin Liu
Zhixian Yu
Jing Xia
Exponential stability of traveling waves for non-monotone delayed reaction-diffusion equations
Electronic Journal of Differential Equations
Stability
non-monotone
weighted energy method
author_facet Yixin Liu
Zhixian Yu
Jing Xia
author_sort Yixin Liu
title Exponential stability of traveling waves for non-monotone delayed reaction-diffusion equations
title_short Exponential stability of traveling waves for non-monotone delayed reaction-diffusion equations
title_full Exponential stability of traveling waves for non-monotone delayed reaction-diffusion equations
title_fullStr Exponential stability of traveling waves for non-monotone delayed reaction-diffusion equations
title_full_unstemmed Exponential stability of traveling waves for non-monotone delayed reaction-diffusion equations
title_sort exponential stability of traveling waves for non-monotone delayed reaction-diffusion equations
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2016-03-01
description 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.
topic Stability
non-monotone
weighted energy method
url http://ejde.math.txstate.edu/Volumes/2016/86/abstr.html
work_keys_str_mv AT yixinliu exponentialstabilityoftravelingwavesfornonmonotonedelayedreactiondiffusionequations
AT zhixianyu exponentialstabilityoftravelingwavesfornonmonotonedelayedreactiondiffusionequations
AT jingxia exponentialstabilityoftravelingwavesfornonmonotonedelayedreactiondiffusionequations
_version_ 1725671582917984256

Similar Items