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Loewy Decomposition of Linear Differential Equations
Date: 24-01-2019, 09:27 | Author: creativelivenew | Favorites: |


Loewy Decomposition of Linear Differential Equations
Loewy Decomposition of Linear Differential Equations (Texts & Monographs in Symbolic Computation) by Fritz Schwarz
English | 2012 | ISBN-10: 3709112850, 3709116872 | PDF | 245 pages | 4 MB



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.


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