Title: Loewy Decomposition of Linear Differential Equations (Texts & Monographs in Symbolic Computation)
Publisher: Springer
Publication Date: 2012
Language: English
ISBN 10: 3709112850
ISBN 13: 9783709112854
Binding: Hardcover
Condition: New

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Synopsis

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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