摘要
研究交错扩散竞争系统非临界波速行波解的加权稳定性问题.通过细致的谱分析,证明了每个具有非临界波速的行波解在某适当的指数加权空间中是局部渐近指数稳定的.
The stability problem of traveling waves for some cross-diffusion systems in which there are competing species in mathematical ecology is studied. By detailed spectral analysis, each traveling wave solution with non-critical speed is proved to be locally exponentially stable to perturbations in some exponentially weighted spaces.
出处
《内蒙古大学学报(自然科学版)》
CAS
CSCD
北大核心
2009年第1期7-10,共4页
Journal of Inner Mongolia University:Natural Science Edition
基金
国家自然科学基金(10271082
10671131)
北京自然科学基金(1052003)
北京石油化工学院青年基金资助项目-非线性发展方程组行波解的存在性和稳定性研究
关键词
行波
渐近稳定
谱分析
traveling wave
asymptotic stability
spectral analysis