Loewy Decomposition of Linear Differential Equations
| Autor: | Schwarz, Fritz |
|---|---|
| EAN: | 9783709112854 |
| Sachgruppe: | Informatik, EDV |
| Sprache: | Englisch |
| Seitenzahl: | 248 |
| Produktart: | Gebunden |
| Veröffentlichungsdatum: | 29.09.2012 |
| Schlagworte: | Algebra / Lineare Algebra Lineare Algebra |
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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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