| 書目名稱 | Dynamic Equations on Time Scales | | 副標題 | An Introduction with | | 編輯 | Martin Bohner,Allan Peterson | | 視頻video | http://file.papertrans.cn/284/283582/283582.mp4 | | 圖書封面 |  | | 描述 | On becoming familiar with difference equations and their close re- lation to differential equations, I was in hopes that the theory of difference equations could be brought completely abreast with that for ordinary differential equations. [HUGH L. TURRITTIN, My Mathematical Expectations, Springer Lecture Notes 312 (page 10), 1973] A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both. [E. T. BELL, Men of Mathematics, Simon and Schuster, New York (page 13/14), 1937] The theory of time scales, which has recently received a lot of attention, was introduced by Stefan Hilger in his PhD thesis [159] in 1988 (supervised by Bernd Aulbach) in order to unify continuous and discrete analysis. This book is an intro- duction to the study of dynamic equations on time scales. Many results concerning differential equations carryover quite easily to corresponding results for difference equations, while other results seem to be completely different in nature from their continuous counterparts. The study of dynamic equations on time scales reveals such discrepancies, and helps avoid pro | | 出版日期 | Textbook 2001 | | 關鍵詞 | Boundary value problem; Green‘s function; Transformation; calculus; difference equations; ksa; linear alge | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-0201-1 | | isbn_softcover | 978-1-4612-6659-4 | | isbn_ebook | 978-1-4612-0201-1 | | copyright | Springer Science+Business Media New York 2001 |
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