跳到主要內容

臺灣博碩士論文加值系統

(216.73.217.127) 您好!臺灣時間:2026/07/30 10:48
字體大小: 字級放大   字級縮小   預設字形  
回查詢結果 :::

詳目顯示

我願授權國圖
: 
twitterline
研究生:謝升耀
研究生(外文):Shang-Yau Shieh
論文名稱:離散的費雪類方程其旅行波解的存在性
論文名稱(外文):Existence of traveling wavefronts for the discrete Fisher's type equation
指導教授:郭忠勝
指導教授(外文):Guo Jong-Shenq
學位類別:碩士
校院名稱:國立臺灣師範大學
系所名稱:數學研究所
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:1999
畢業學年度:87
語文別:英文
論文頁數:11
中文關鍵詞:離散費雪方程旅行波
外文關鍵詞:discrete Fisher's equationtraveling wavefront
相關次數:
  • 被引用被引用:0
  • 點閱點閱:236
  • 評分評分:
  • 下載下載:0
  • 收藏至我的研究室書目清單書目收藏:0
我們討論無限的非線性微分方程組,此方程組稱為離散的費雪類方程。
當常數d在某些限制範圍之下,我們得到此系統旅行波解的存在性。

We study the infinite system of coupled nonlinear differential equations which is called the discrete Fisher's type equation.
Under the assumption that the coupled constant is not strong enough, we obtain the existence of traveling wavefronts for this system.

Introduction
Existence of traveling wavefronts
Conclusion

[1]. H. Amann, Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces, Siam Rev. 18, No. 4 (1976).
[2]. H. Amann and S. A. Weiss, On the uniqueness of the topological degree, Math. Z. 130 (1973), 39-45.
[3]. D. G. Aronson and H. F. Weinberger, Nonlinear diffusion in population genetics, combustion and nerve propagation, Lecture Notes in Math. 446(1981), 5-49.
[4]. J. Bell, Some threshold results for models of myelinated nerves, Math. Biosci. 4 (1981),181-190.
[5]. J. Bell and C. Cosner, Threshold behavior and propagation for nonlinear differential-difference systems notivated by modeling myelinated axons, Quart. Appl. Math. 42 (1984), 1-14.
[6]. R. A. Fisher, The wave of advance of advantageous genes, Ann. Eugenics 7 (1937), 355-369.
[7]. R. FitzHugh, Impulse and physiological states in models of nerve membrane, Biophys. J. 1 (1961), 445-466.
[8]. D. Hankerson and B. Zinner, Wavefronts for a cooperative tridiagonal system of differential equations, J. Dynamics Differential Equations 5 (1993), 359-373.
[9]. J. P. Keener, Propagation and its failure in the discrete Nagumo equation, in Proc. Conference on Ordinary and Partial Differential Equations, Dundee, Scotland (1986), 95-112.
[10]. J. P. Keener, Propagation and its failure in coupled systems of discrete excitable cells, SIAM J. Appl. Math. 47 (1987), 556-572.
[11]. J. Nagumo, S. Ariomot. And S. Yoshizawa, An active pulse transmission line simulating nerve axon, Proc. IRE 50 (1962), 2061-2070.
[12]. A. c. Scott, Active and Nonlinear Wave Propagation in Electronics, Wiley-Interscience, New York (1970).
[13]. B. Zinner, Existence of traveling wavefront solutions for the discrete Nagumo equation, J. Differential Equations 96 (1992), 1-27.
[14]. B. Zinner, Stability of traveling wavefronts for the discrete Nagumo equation, SIAM J. Math. Anal. 22 (1991), 1016-1020.
[15]. B. Zinner, G. Harris, and W. Hudson, Traveling wavefronts for the discrete Fisher's equation, Journal of Differential Equations 105 (1993), 46-62.

QRCODE
 
 
 
 
 
                                                                                                                                                                                                                                                                                                                                                                                                               
第一頁 上一頁 下一頁 最後一頁 top