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https://ah.lib.nccu.edu.tw/handle/140.119/56531| 題名: | 二維非線性動態系統之非振盪解的分類法 A Classification Scheme for Nonoscillatory Solutions of Two-Dimensional Nonlinear Dynamical Systems |
作者: | 黃雅雯 Huang, Ya Wen |
貢獻者: | 符聖珍 黃雅雯 Huang, Ya Wen |
關鍵詞: | 非振盪性解的分類 Nonoscillatory Solutions Nonlinear Dynamical System |
日期: | 2012 | 上傳時間: | 2-Jan-2013 | 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。 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. \nIn addition, we find the sufficient and necessary conditions for the existence of these solutions. |
參考文獻: | M. Bohner and A. Peterson, Dynamic Equations on Time Scales, An Introduction with Applications, Birkhauser, Boston (2001)\n\nDouglas 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), 1-13\n\nDouglas 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.\n\nB. Knaster, Un Théoréme sur les fonctions d`nensembles, Annales de la Société Polonaise de Mathématique 6 (1928), 133-134.\n\nWalter G. Kelley and Allan C. Peterson, Difference Equations, An Introduction with Applications, Academic Press, Inc. (1991).\n\nYoujun Xu, and Zhiting Xu, Oscillation criteria for two-dimensional dynamic systems on time scales, Journal of Computational and Applied Mathematics, 225 (2009), 9-19. | 描述: | 碩士 國立政治大學 應用數學研究所 98751009 101 |
資料來源: | http://thesis.lib.nccu.edu.tw/record/#G0987510091 | 資料類型: | thesis |
| Appears in Collections: | 學位論文 |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| 009101.pdf | 649.22 kB | Adobe PDF2 | View/Open |
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