Loewy Decomposition of Linear Diffe - E-book

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Loewy Decomposition Of Linear Differential Equations - ENG

Fritz Schwarz

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Sinopsis

ISBN:	9783709112861
Formato:	ePub
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Equaciones Diferenciales general
Año de publicación:	2012-09-28

The central subject of the book is the generalization of Loewys 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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