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| 研究生： |
鄭岱暘 |
|---|---|
| 論文名稱： |
離散型動態系統的行進波解的存在性 Existence of Traveling Wave Solutions for Discrete Dynamical Systems |
| 指導教授： | 符聖珍 |
| 學位類別： |
碩士
Master |
| 系所名稱： |
理學院 - 應用數學系 Department of Mathematical Sciences |
| 論文出版年： | 2014 |
| 畢業學年度： | 102 |
| 語文別： | 中文 |
| 論文頁數： | 19 |
| 中文關鍵詞： | 離散型動態系統 、行進波解 |
| 外文關鍵詞： | Discrete Dynamical Systems, Traveling Wave |
| 相關次數： | 點閱：167 下載：22 |
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證明當0<k<1<h或0<h<1<k時，存在一個正的常數cmin使得格子動態系統中有行進波解若且唯若c>=cmin。
We show
that if 0 < k < 1 < h or 0 < h < 1 < k then there exists a positive constant cmin
such that the LDS admits a traveling wave solution if and only if c 。>= cmin.
謝辭 i
摘要 ii
Abstract iii
Contents iv
1 Introduction 1
2 Basic Properties and The Monotone Operators 4
2.1 The Property of Traveling Wave Solution . . . . . . . . . . . . . . 4
2.2 The Monotone Operators . . . . . . . . . . . . . . . . . . . . . . . 6
3 A Truncation Problem 8
4 Proof of Theorem 2.1 14
4.1 Super-solution and Its Role . . . . . . . . . . . . . . . . . . . . . 14
4.2 Proof of Theorem 2.1 . . . . . . . . . . . . . . . . . . . . . . . . . 18
Bibliography 19
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