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.
| Autorius: | Fritz Schwarz |
| Serija: | Texts & Monographs in Symbolic Computation |
| Leidėjas: | Springer Vienna |
| Išleidimo metai: | 2014 |
| Knygos puslapių skaičius: | 248 |
| ISBN-10: | 3709116872 |
| ISBN-13: | 9783709116876 |
| Formatas: | Knyga minkštu viršeliu |
| Kalba: | Anglų |
| Žanras: | Differential calculus and equations |
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