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Loewy Decomposition of Linear Differential Equations
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 comprehensi...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Vienna :
Springer Vienna : Imprint: Springer,
2012.
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| Edición: | 1st ed. 2012. |
| Colección: | Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,
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| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Loewy's results for ordinary differential equations
- Rings of partial differential operators
- Equations with finite-dimensional solution space
- Decomposition of second-order operators
- Solving second-order equations
- Decomposition of third-order operators
- Solving third-order equations
- Summary and conclusions
- Solutions to the exercises
- Solving Riccati equations
- The method of Laplace
- Equations with Lie symmetries.