| dc.contributor.advisor | 符聖珍 | zh_TW |
| dc.contributor.author (Authors) | 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-Feb-2014 16:46:49 (UTC+8) | - |
| dc.date.available | 10-Feb-2014 16:46:49 (UTC+8) | - |
| dc.date.issued (上傳時間) | 10-Feb-2014 16:46:49 (UTC+8) | - |
| dc.identifier (Other Identifiers) | G0100751003 | en_US |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/63768 | - |
| 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 showthat if 0 < k < 1 < h or 0 < h < 1 < k then there exists a positive constant cminsuch that the LDS admits a traveling wave solution if and only if c >= cmin. | en_US |
| dc.description.tableofcontents | 謝辭 i摘要 iiAbstract iiiContents iv1 Introduction 12 Basic Properties and The Monotone Operators 42.1 The Property of Traveling Wave Solution . . . . . . . . . . . . . . 42.2 The Monotone Operators . . . . . . . . . . . . . . . . . . . . . . . 63 A Truncation Problem 84 Proof of Theorem 2.1 144.1 Super-solution and Its Role . . . . . . . . . . . . . . . . . . . . . 144.2 Proof of Theorem 2.1 . . . . . . . . . . . . . . . . . . . . . . . . . 18Bibliography 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-Volterracompetition model, Bulletin of Math. Biology 60 (1998), 435-448.[2] Y. Kan-on, Instability of stationary solutions for Lokta-Volterra competitionmodel with diffusion, J. Math. Anal. Appl. 208 (1997), 158-170.[3] C. Conley, R. Gardner, An application of generalized Morse index to travelingwave solutions of a competitive reaction diffusion model, Indiana Univ. math.J.33 (1984) 319-343.[4] R.A. Gardner, Existence and stability of traveling wave solutions of competi-tion models: a degree theoretic, J. Differential Equations 44 (1982), 343-362.[5] M.M. Tang. P.C. Fife, Propagating fronts for competing species equations withdiffusion, Arch. Ration. Mech. Anal. 73 (1980) 69-77.[6] J.-S. Guo, C.-H. Wu, Traveling wave front for a two-component lattice dynam-ical system arising in competition models, J. Diff. Eqns 252 (2012) 4357-4391. | zh_TW |
