Loewy Decomposition of Linear Differential Equations

Fritz Schwarz

ISBN 10: 3709116872 / ISBN 13: 9783709116876

Published by Springer Vienna, 2014

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9783709116876

Bibliographic Details

• Title: Loewy Decomposition of Linear Differential Equations
• Publisher: Springer Vienna
• 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.