书目名称 | Loewy Decomposition of Linear Differential Equations |
编辑 | Fritz Schwarz |
视频video | |
概述 | Most advanced and most complete text on closed form solutions of linear partial differential equations.Provides more than 50 worked out examples and exercises including solutions.The results described |
丛书名称 | Texts & Monographs in Symbolic Computation |
图书封面 |  |
描述 | The central subject of the book is the generalization of Loewy‘s decomposition - originally introduced by him for linear ordinary differential equations - to linear partial differential equations. Equations for a single function in two independent variables of order two or three are comprehensively discussed. A complete list of possible solution types is given. Various ad hoc results available in the literature are obtained algorithmically. The border of decidability for generating a Loewy decomposition are explicitly stated. The methods applied may be generalized in an obvious way to equations of higher order, in more variables or systems of such equations. |
出版日期 | Book 2012 |
关键词 | Computer Algebra Software; Differential Algebra; Partial Differential Equations |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-7091-1286-1 |
isbn_softcover | 978-3-7091-1687-6 |
isbn_ebook | 978-3-7091-1286-1Series ISSN 0943-853X Series E-ISSN 2197-8409 |
issn_series | 0943-853X |
copyright | Springer-Verlag Wien 2012 |