Loewy Decomposition of Linear Differential Equations (Texts & Monographs in Symbolic Computation) - Hardcover

Schwarz, Fritz

 
9783709112854: Loewy Decomposition of Linear Differential Equations (Texts & Monographs in Symbolic Computation)
Hardcover
ISBN 10: 3709112850 ISBN 13: 9783709112854
Publisher: Springer, 2012

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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From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2012
Language
English
ISBN 10 
3709112850
ISBN 13 
9783709112854
Binding
Hardcover
Number of pages
248

Other Popular Editions of the Same Title

9783709116876: Loewy Decomposition of Linear Differential Equations (Texts & Monographs in Symbolic Computation)

Featured Edition

ISBN 10:  3709116872 ISBN 13:  9783709116876
Publisher: Springer, 2014
Softcover