Erschienen: 29.09.2012 Abbildung von Schwarz | Loewy Decomposition of Linear Differential Equations | 2012


Loewy Decomposition of Linear Differential Equations

2012. Buch. xvi, 232 S. Bibliographien. Hardcover

Springer. ISBN 978-3-7091-1285-4

Format (B x L): 15,5 x 23,5 cm

Gewicht: 537 g

In englischer Sprache


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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