離散型反應擴散方程的全解

離散型反應擴散方程的全解

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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 solution...

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Bibliographic Details
Main Authors: 王宏嘉, Wang,Hong-Jia
Language:中文
Published: 國立政治大學
Subjects:
離散型反應擴散方程
全解
discrete reaction-diffusion equation
entire solution
Online Access:http://thesis.lib.nccu.edu.tw/cgi-bin/cdrfb3/gsweb.cgi?o=dstdcdr&i=sid=%22G0093751002%22.
id ndltd-CHENGCHI-G0093751002
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spelling ndltd-CHENGCHI-G00937510022013-01-07T19:30:54Z 離散型反應擴散方程的全解 Entire Solutions for Discrete Reaction-Diffusion Equations 王宏嘉 Wang,Hong-Jia 離散型反應擴散方程 全解 discrete reaction-diffusion equation entire solution 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. 國立政治大學 http://thesis.lib.nccu.edu.tw/cgi-bin/cdrfb3/gsweb.cgi?o=dstdcdr&i=sid=%22G0093751002%22. text 中文 Copyright © nccu library on behalf of the copyright holders
collection NDLTD
language 中文
sources NDLTD
topic 離散型反應擴散方程
全解
discrete reaction-diffusion equation
entire solution
spellingShingle 離散型反應擴散方程
全解
discrete reaction-diffusion equation
entire solution
王宏嘉
Wang,Hong-Jia
離散型反應擴散方程的全解
description 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.
author 王宏嘉
Wang,Hong-Jia
author_facet 王宏嘉
Wang,Hong-Jia
author_sort 王宏嘉
title 離散型反應擴散方程的全解
title_short 離散型反應擴散方程的全解
title_full 離散型反應擴散方程的全解
title_fullStr 離散型反應擴散方程的全解
title_full_unstemmed 離散型反應擴散方程的全解
title_sort 離散型反應擴散方程的全解
publisher 國立政治大學
url http://thesis.lib.nccu.edu.tw/cgi-bin/cdrfb3/gsweb.cgi?o=dstdcdr&i=sid=%22G0093751002%22.
work_keys_str_mv AT wánghóngjiā lísànxíngfǎnyīngkuòsànfāngchéngdequánjiě
AT wanghongjia lísànxíngfǎnyīngkuòsànfāngchéngdequánjiě
AT wánghóngjiā entiresolutionsfordiscretereactiondiffusionequations
AT wanghongjia entiresolutionsfordiscretereactiondiffusionequations
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