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Loewy Decomposition of Linear Differential Equations

Posted By: AvaxGenius
Loewy Decomposition of Linear Differential Equations

Loewy Decomposition of Linear Differential Equations by Fritz Schwarz
English | PDF | 2012 | 238 Pages | ISBN : 3709112850 | 2.1 MB

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.

Linear Differential Equations and Group Theory from Riemann to Poincaré

Posted By: AvaxGenius
Linear Differential Equations and Group Theory from Riemann to Poincaré

Linear Differential Equations and Group Theory from Riemann to Poincaré by Jeremy Gray
English | PDF | 1986 | 489 Pages | ISBN : 1489966749 | 28.8 MB

Mathematicians often speak of the unity of their subject, whether to praise it or lament its passing. This book traces the emergence of such a unity from its nineteenth century origins in the history of linear ordinary differential equations, especially those closely connected with elliptic and modular functions.