学术
摘 要:
与一维空间中研究连接两个常数的波前解的存在性不同的是，本文建立了在多维无限长的柱体内连接两个曲面的单渊行波解的存在性．相应的模型是一种具有指数率的Logistic方程．所用的方法是一种改进了的单调性方法．本文的研究结果对自然界中波的实际传播行为给出了有益的启示．[著者文摘]
文章出处:
《应用数学》-2006年19卷1期 -41-45页
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2006）01-0041-05
Existence of Travelling Wave Fronts in Infinite Cylinder for a Power Law Logistic Equation
WANG Jin-liang（Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China）
Abstract:
Different from discussing the existence of the one-dimensional travelling wave fronts which connect two constant steady states, the existence of monotone travelling waves which connect two surfaces in an infinite multi-dimensional cylinder are established in this paper. The corresponding model is a power law Logistic equation with Dirichlet boundary conditions and the method is a modified monotone method. The results throw some light on the actual propagation phenomena in nature,[著者文摘]
Key words:
Travelling wave front; Monotone method; Logistic; Upper-lower solution; Diffusion; Existence
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