這篇文章中，我們探討離散型反應擴散方程u_t(x,t)=u(x+1,t)-2u(x,t)+u(x-1,t)+f(u(x,t))，其中
反應項f(u)=u^2(1-u)。在此，
我們證明此方程式存在一種全解其動態行為宛如兩個來自x軸兩端相向而行的行波。 / This paper deals with a discrete reaction-diffusion equation
u_t(x,t)=u(x+1,t)-2u(x,t)+u(x-1,t)+f(u(x,t)),
where f(u)=u^2(1-u). Here, we prove there exist entire solutions which behave as two
traveling waves coming from both sides of x-axis.
| Identifer | oai:union.ndltd.org:CHENGCHI/G0093751002 |
| Creators | 王宏嘉, Wang,Hong-Jia |
| Publisher | 國立政治大學 |
| Source Sets | National Chengchi University Libraries |
| Language | 中文 |
| Detected Language | English |
| Type | text |
| Rights | Copyright © nccu library on behalf of the copyright holders |
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