Loewy Decomposition of Linear Differential Equations

Schwarz, Fritz

ISBN 10: 3709112850 / ISBN 13: 9783709112854

Published by Springer Verlag GmbH, 2012

About this Item

As the most complete text on closed form solutions of linear partial differential equations, this book's coverage of the generalization of Loewy's decomposition includes more than fifty worked out examples and exercises in addition to their solutions. Series: Texts and Monographs in Symbolic Computation. Num Pages: 248 pages, biography. BIC Classification: PBKJ; TBJ; UYAM. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 15. Weight in Grams: 526. . 2012. Hardback. . . . . Books ship from the US and Ireland.

Seller Inventory # V9783709112854

Bibliographic Details

• Title: Loewy Decomposition of Linear Differential Equations
• Publisher: Springer Verlag GmbH
• Publication Date: 2012
• Language: English
• ISBN 10: 3709112850
• ISBN 13: 9783709112854
• Binding: Hardcover
• Condition: New

About this title

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.