STABILITY OF MONOSTABLE WAVES FOR A NONLOCAL EQUATION WITH DELAY AND WITHOUT QUASI-MONOTONICITY

doi:10.1007/s10473-019-0610-y

数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (6): 1589-1604.doi: 10.1007/s10473-019-0610-y

STABILITY OF MONOSTABLE WAVES FOR A NONLOCAL EQUATION WITH DELAY AND WITHOUT QUASI-MONOTONICITY

刘克盼, 杨赟瑞, 杨扬

School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China

收稿日期:2018-07-23 修回日期:2019-05-12 出版日期:2019-12-25 发布日期:2019-12-30
通讯作者: Yunrui Yang,E-mail:lily1979101@163.com E-mail:lily1979101@163.com
作者简介:Kepan LIU,E-mail:sophialiu16@163.com;Yang YANG,E-mail:15095339103@163.com
基金资助:
Yunrui Yang was supported by the NSFC (11761046, 11301241).

STABILITY OF MONOSTABLE WAVES FOR A NONLOCAL EQUATION WITH DELAY AND WITHOUT QUASI-MONOTONICITY

Kepan LIU, Yunrui Yang, Yang YANG

School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China

Received:2018-07-23 Revised:2019-05-12 Online:2019-12-25 Published:2019-12-30
Contact: Yunrui Yang,E-mail:lily1979101@163.com E-mail:lily1979101@163.com
Supported by:
Yunrui Yang was supported by the NSFC (11761046, 11301241).

摘要/Abstract

摘要： By using the weighted-energy method combining continuation method, the exponential stability of monostable traveling waves for a delayed equation without quasi-monotonicity is established, including even the slower waves whose speed are close to the critical speed. Particularly, the nonlinearity is nonlocal in the equation and the initial perturbation is uniformly bounded only at x=+∞ but may not be vanishing.

关键词: stability, traveling waves, weighted-energy method, delay

Abstract: By using the weighted-energy method combining continuation method, the exponential stability of monostable traveling waves for a delayed equation without quasi-monotonicity is established, including even the slower waves whose speed are close to the critical speed. Particularly, the nonlinearity is nonlocal in the equation and the initial perturbation is uniformly bounded only at x=+∞ but may not be vanishing.

Key words: stability, traveling waves, weighted-energy method, delay

中图分类号:

34K18

刘克盼, 杨赟瑞, 杨扬. STABILITY OF MONOSTABLE WAVES FOR A NONLOCAL EQUATION WITH DELAY AND WITHOUT QUASI-MONOTONICITY[J]. 数学物理学报(英文版), 2019, 39(6): 1589-1604.

Kepan LIU, Yunrui Yang, Yang YANG. STABILITY OF MONOSTABLE WAVES FOR A NONLOCAL EQUATION WITH DELAY AND WITHOUT QUASI-MONOTONICITY[J]. Acta mathematica scientia,Series B, 2019, 39(6): 1589-1604.

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STABILITY OF MONOSTABLE WAVES FOR A NONLOCAL EQUATION WITH DELAY AND WITHOUT QUASI-MONOTONICITY

STABILITY OF MONOSTABLE WAVES FOR A NONLOCAL EQUATION WITH DELAY AND WITHOUT QUASI-MONOTONICITY

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