| dc.contributor.advisor | 符聖珍 | zh_TW |
| dc.contributor.author (Authors) | 黃雅雯 | zh_TW |
| dc.contributor.author (Authors) | Huang, Ya Wen | en_US |
| dc.creator (作者) | 黃雅雯 | zh_TW |
| dc.creator (作者) | Huang, Ya Wen | en_US |
| dc.date (日期) | 2012 | en_US |
| dc.date.accessioned | 2-Jan-2013 13:26:20 (UTC+8) | - |
| dc.date.available | 2-Jan-2013 13:26:20 (UTC+8) | - |
| dc.date.issued (上傳時間) | 2-Jan-2013 13:26:20 (UTC+8) | - |
| dc.identifier (Other Identifiers) | G0987510091 | en_US |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/56531 | - |
| 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) | 98751009 | zh_TW |
| dc.description (描述) | 101 | zh_TW |
| dc.description.abstract (摘要) | 在此篇論文中，我們提供二維非線性動態系統之非振盪解的一個分類法，此分類法是依據解的漸近值作分類，同時我們也得到具有此漸近值之非振盪解的存在性的充分必要條件。 | zh_TW |
| dc.description.abstract (摘要) | In this thesis, we provide a classification scheme for nonoscillatory solutions of a class of two-dimensional dynamical systems in terms of their asymptotic values. In addition, we find the sufficient and necessary conditions for the existence of these solutions. | en_US |
| dc.description.tableofcontents | Contents謝辭 .......................................... iAbstract .................................... iii中文摘要 .................................. ivContent ................................... v1. Introduction .............................................. 12. The Fundamental Theory of Time Scales ....... 23. Preparatory Lemmas ................................... 54. The Main Results ......................................... 95. Reference ................................................... 19 | zh_TW |
| dc.language.iso | en_US | - |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#G0987510091 | en_US |
| dc.subject (關鍵詞) | 非振盪性解的分類 | zh_TW |
| dc.subject (關鍵詞) | Nonoscillatory Solutions | en_US |
| dc.subject (關鍵詞) | Nonlinear Dynamical System | en_US |
| dc.title (題名) | 二維非線性動態系統之非振盪解的分類法 | zh_TW |
| dc.title (題名) | A Classification Scheme for Nonoscillatory Solutions of Two-Dimensional Nonlinear Dynamical Systems | en_US |
| dc.type (資料類型) | thesis | en |
| dc.relation.reference (參考文獻) | M. Bohner and A. Peterson, Dynamic Equations on Time Scales, An Introduction with Applications, Birkhauser, Boston (2001)Douglas R. Anderson, Oscillation and nonoscillation criteria for two-dimensional time-scale systems of first-Order nonlinear dynamic equations, Electronic Journal of Differential Equations, 24 (2009), 1-13Douglas R. Anderson and William R. Hall, Oscillation criteria for two-dimensional systems of first-order linear dynamic equations on time scales, Involve a Journal of Mathematics 2 (2009), No.1, 1-16.B. Knaster, Un Théoréme sur les fonctions d`nensembles, Annales de la Société Polonaise de Mathématique 6 (1928), 133-134.Walter G. Kelley and Allan C. Peterson, Difference Equations, An Introduction with Applications, Academic Press, Inc. (1991).Youjun Xu, and Zhiting Xu, Oscillation criteria for two-dimensional dynamic systems on time scales, Journal of Computational and Applied Mathematics, 225 (2009), 9-19. | zh_TW |
