Solvability of Singular Linear Difference Equations

• Main Authors: Yu-Jen Lin, 林育任
• Other Authors: Jung-Kai Chen
• Format: Others
• Language: en_US
• Published: 2012
• Online Access: http://ndltd.ncl.edu.tw/handle/09685972858398477823

碩士 === 國立臺灣大學 === 數學研究所 === 100 === 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.