| タイトル | ENTIRE SOLUTIONS FOR A DISCRETE DIFFUSIVE EQUATION WITH BISTABLE CONVOLUTION TYPE NONLINEARITY |
| DOI | https://doi.org/10.18910/26014
10.18910/26014 |
| 本文（外部サイト） | https://ir.library.osaka-u.ac.jp/repo/ouka/all/26014/ojm50_03_607.pdf |
| 著者（英） | Guo, Jong-Shenq; Lin, Ying-Chin |
| 発行日 | 2013-09 |
| 発行機関など | Osaka University and Osaka City University, Departments of Mathematics |
| 刊行物名 | Osaka Journal of Mathematics |
| 巻 | 50 |
| 号 | 3 |
| 開始ページ | 607 |
| 終了ページ | 629 |
| 言語 | eng |
| 内容記述 | We study entire solutions for a discrete diffusive equation with bistable convolution type nonlinearity. We construct three different types of entire solutions. Each of these entire solutions behaves as two traveling wavefronts connecting two of those three equilibria as time approaches minus infinity. Moreover, the first and second ones are solutions which behave as two traveling wavefronts approaching each other from both sides of x-axis. The behavior of the second one is like the first one except it connects two different wavefronts. The third one is a solution which behaves as two different traveling wavefronts and one chases another from the same side of x-axis. |
