Traveling wave solution for a lattice dynamical system with convolution type nonlinearity
學年 100
學期 1
出版（發表）日期 2012-01-01
作品名稱 Traveling wave solution for a lattice dynamical system with convolution type nonlinearity
作品名稱（其他語言）
著者 Guo, Jong-Shenq; Lin, Ying-Chih
單位 淡江大學數學學系
出版者 Springfield: American Institute of Mathematical Sciences
著錄名稱、卷期、頁數 Discrete and Continuous Dynamical Systems 32(1), pp.101-124
摘要 We study traveling wave solutions for a lattice dynamical system with convolution type nonlinearity. We consider the monostable case and discuss the asymptotic behaviors, monotonicity and uniqueness of traveling wave. First, we characterize the asymptotic behavior of wave profile at both wave tails. Next, we prove that any wave profile is strictly decreasing. Finally, we prove the uniqueness (up to translation) of wave profile for each given admissible wave speed.
關鍵字 Lattice dynamical system; traveling wave; monotonicity; uniqueness
語言 en
ISSN 1078-0947
期刊性質 國外
收錄於 SCI
產學合作
通訊作者
審稿制度
國別 USA
公開徵稿
出版型式 紙本
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