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Texts & Monographs in Symbolic Computation

Loewy Decomposition of Linear Differential Equations

Authors: Schwarz, Fritz

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  • Most advanced and most complete text on closed form solutions of linear partial differential equations 
  • Provides more than 50 worked out examples and exercises including solutions 
  • The results described in the book may be applied for determining Lie symmetries of nonlinear differential equations
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  • ISBN 978-3-7091-1286-1
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About this book

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.

Reviews

From the reviews:

“This monograph pretends to describe the start point for developing a systematic way for solving linear partial differential equations (PDE’s) based on the Loewy’s decomposition method, working in an proper ring of differential operators and including algorithmic alternatives for several problems considered in classic literature. … this monograph is truly a guide book for the problem of decomposing differential operators, written in a very clear and objective language, and providing the necessary tools towards more general problems.” (Ana Rita Martins, Zentralblatt MATH, Vol. 1261, 2013)


Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook 96,29 €
price for Spain (gross)
  • ISBN 978-3-7091-1286-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 124,79 €
price for Spain (gross)
Softcover 124,79 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Loewy Decomposition of Linear Differential Equations
Authors
Series Title
Texts & Monographs in Symbolic Computation
Copyright
2012
Publisher
Springer-Verlag Wien
Copyright Holder
Springer-Verlag Wien
eBook ISBN
978-3-7091-1286-1
DOI
10.1007/978-3-7091-1286-1
Hardcover ISBN
978-3-7091-1285-4
Softcover ISBN
978-3-7091-1687-6
Series ISSN
0943-853X
Edition Number
1
Number of Pages
XVI, 232
Topics

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