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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/6790
Title: | 線性差分方程的可解性 Solvability of Singular Linear Difference Equations |
Authors: | Yu-Jen Lin 林育任 |
Advisor: | 陳榮凱(Jung-Kai Chen) |
Keyword: | 可解性,線性差分方程,( E, A)-系統,( E, A, B)-系統,幾何控制, solvability,singular linear difference equations,( E, A)-system,( E, A, B)-system,geometric control, |
Publication Year : | 2012 |
Degree: | 碩士 |
Abstract: | 這篇論文最主要是在探討關於線性差分方程的可解性。主要是以幾何的觀點去探討關於(E, A, B)-系統的解的性質。我們先以較簡單的(E, A)-系統入手,並且嘗試著利用幾何的觀點去探討出其解的性質。並且希望可以將求解的方式,以與所選取基底無關的方法來獲得相關結論。
而(E, A)-系統為(E, A, B)-系統的特例。因此之後可利用之前的結論,再進一步地研究關於(E, A, B)-系統解的特性。而在最後,也得以完整的描述解空間。 In this thesis, we focus on the solvability of singular linear difference equations. We use the geometric viewpoint to survey the properties about the solutions of (E, A, B)-system. First, we consider the simple system—(E, A)-system. We try to use the geometric technique to solve the properties about the solutions of (E, A)-system. And we hope that we can solve it by the way which is independent of the choice of the basis. And (E, A)-system is a special case of the (E, A, B)-system. So, we can use the conclusions which we got before to solve the solution of the (E, A, B)-system. Finally, we have described the solution space of (E, A, B)-system. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/6790 |
Fulltext Rights: | 同意授權(全球公開) |
Appears in Collections: | 數學系 |
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ntu-101-1.pdf | 495.14 kB | Adobe PDF | View/Open |
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