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

作　　者：Kepan LIU Yunrui Yang Yang YANG 刘克盼;杨赟瑞;杨扬(School of Mathematics and Physics, Lanzhou Jiaotong University)

机构地区：[1]School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China

出　　处：《Acta Mathematica Scientia》2019年第6期1589-1604,共16页数学物理学报（B辑英文版）

基　　金：supported by the NSFC(11761046,11301241)

摘　　要：By using the weighted-energy method combining continuation method, the exponential stability of monostable traveling waves for a delayed equation without quasimonotonicity 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.By using the weighted-energy method combining continuation method, the exponential stability of monostable traveling waves for a delayed equation without quasimonotonicity 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 

分 类 号：O17[理学—数学]