| dc.contributor.advisor | 符聖珍 | zh_TW |
| dc.contributor.author (作者) | 鄭岱暘 | zh_TW |
| dc.creator (作者) | 鄭岱暘 | zh_TW |
| dc.date (日期) | 2014 | en_US |
| dc.date.accessioned | 10-二月-2014 16:46:49 (UTC+8) | - |
| dc.date.available | 10-二月-2014 16:46:49 (UTC+8) | - |
| dc.date.issued (上傳時間) | 10-二月-2014 16:46:49 (UTC+8) | - |
| dc.identifier (其他 識別碼) | G0100751003 | en_US |
| dc.identifier.uri (URI) | https://ah.lib.nccu.edu.tw/item?item_id=71913 | - |
| dc.description (描述) | 碩士 | zh_TW |
| dc.description (描述) | 國立政治大學 | zh_TW |
| dc.description (描述) | 應用數學研究所 | zh_TW |
| dc.description (描述) | 100751003 | zh_TW |
| dc.description (描述) | 103 | zh_TW |
| dc.description.abstract (摘要) | 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。 | zh_TW |
| dc.description.abstract (摘要) | We show\nthat if 0 < k < 1 < h or 0 < h < 1 < k then there exists a positive constant cmin\nsuch that the LDS admits a traveling wave solution if and only if c >= cmin. | en_US |
| dc.description.tableofcontents | 謝辭 i\n摘要 ii\nAbstract iii\nContents iv\n1 Introduction 1\n2 Basic Properties and The Monotone Operators 4\n2.1 The Property of Traveling Wave Solution . . . . . . . . . . . . . . 4\n2.2 The Monotone Operators . . . . . . . . . . . . . . . . . . . . . . . 6\n3 A Truncation Problem 8\n4 Proof of Theorem 2.1 14\n4.1 Super-solution and Its Role . . . . . . . . . . . . . . . . . . . . . 14\n4.2 Proof of Theorem 2.1 . . . . . . . . . . . . . . . . . . . . . . . . . 18\nBibliography 19 | zh_TW |
| dc.format.extent | 99198 bytes | - |
| dc.format.extent | 547911 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.format.mimetype | application/pdf | - |
| dc.language.iso | en_US | - |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#G0100751003 | en_US |
| dc.subject (關鍵詞) | 離散型動態系統 | zh_TW |
| dc.subject (關鍵詞) | 行進波解 | zh_TW |
| dc.subject (關鍵詞) | Discrete Dynamical Systems | en_US |
| dc.subject (關鍵詞) | Traveling Wave | en_US |
| dc.title (題名) | 離散型動態系統的行進波解的存在性 | zh_TW |
| dc.title (題名) | Existence of Traveling Wave Solutions for Discrete Dynamical Systems | en_US |
| dc.type (資料類型) | thesis | en |
| dc.relation.reference (參考文獻) | [1] Y. Hosono, The minimal speed of traveling fronts for a diffusive Lokta-Volterra\ncompetition model, Bulletin of Math. Biology 60 (1998), 435-448.\n[2] Y. Kan-on, Instability of stationary solutions for Lokta-Volterra competition\nmodel with diffusion, J. Math. Anal. Appl. 208 (1997), 158-170.\n[3] C. Conley, R. Gardner, An application of generalized Morse index to traveling\nwave solutions of a competitive reaction diffusion model, Indiana Univ. math.\nJ.33 (1984) 319-343.\n[4] R.A. Gardner, Existence and stability of traveling wave solutions of competi-\ntion models: a degree theoretic, J. Differential Equations 44 (1982), 343-362.\n[5] M.M. Tang. P.C. Fife, Propagating fronts for competing species equations with\ndiffusion, Arch. Ration. Mech. Anal. 73 (1980) 69-77.\n[6] J.-S. Guo, C.-H. Wu, Traveling wave front for a two-component lattice dynam-\nical system arising in competition models, J. Diff. Eqns 252 (2012) 4357-4391. | zh_TW |
