ENGLISH

Loewy Decomposition of Linear Differential Equations

By Fritz Schwarz

Book information

Publisher
Springer
Year
2012
ISBN
3709112850
Language
english
Format
PDF
Filesize
4 MB (4028857 bytes)
Pages
238\238
Orientation
portrait
Paginated
yes
Scanned
no
Time added
2013-01-05 20:52:16

Description

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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