Loewy Decomposition of Linear Differential Equations

Fritz Schwarz

ISBN 10: 3709116872 / ISBN 13: 9783709116876

Published by Springer Vienna, Springer Vienna Okt 2014, 2014

About this Item

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 248 pp. Englisch.

Seller Inventory # 9783709116876

Bibliographic Details

• Title: Loewy Decomposition of Linear Differential Equations
• Publisher: Springer Vienna, Springer Vienna Okt 2014
• Publication Date: 2014
• Language: English
• ISBN 10: 3709116872
• ISBN 13: 9783709116876
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 14D millimeters 235 millimeters width by 155 millimeters height by 14 millimeters depth
• Weight: 382 grams

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.