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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 |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-7091-1286-1 | ||
| 003 | DE-He213 | ||
| 005 | 20220120084114.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 120928s2012 au | s |||| 0|eng d | ||
| 020 | |a 9783709112861 |9 978-3-7091-1286-1 | ||
| 024 | 7 | |a 10.1007/978-3-7091-1286-1 |2 doi | |
| 050 | 4 | |a QA76.9.M35 | |
| 072 | 7 | |a UYAM |2 bicssc | |
| 072 | 7 | |a COM018000 |2 bisacsh | |
| 072 | 7 | |a UYAM |2 thema | |
| 082 | 0 | 4 | |a 005.131 |2 23 |
| 100 | 1 | |a Schwarz, Fritz. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Loewy Decomposition of Linear Differential Equations |h [electronic resource] / |c by Fritz Schwarz. |
| 250 | |a 1st ed. 2012. | ||
| 264 | 1 | |a Vienna : |b Springer Vienna : |b Imprint: Springer, |c 2012. | |
| 300 | |a XVI, 232 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria, |x 2197-8409 | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Computer science-Mathematics. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Engineering mathematics. | |
| 650 | 0 | |a Engineering-Data processing. | |
| 650 | 1 | 4 | |a Symbolic and Algebraic Manipulation. |
| 650 | 2 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Mathematical and Computational Engineering Applications. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783709112878 |
| 776 | 0 | 8 | |i Printed edition: |z 9783709116876 |
| 776 | 0 | 8 | |i Printed edition: |z 9783709112854 |
| 830 | 0 | |a Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria, |x 2197-8409 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-7091-1286-1 |z Texto Completo |
| 912 | |a ZDB-2-SCS | ||
| 912 | |a ZDB-2-SXCS | ||
| 950 | |a Computer Science (SpringerNature-11645) | ||
| 950 | |a Computer Science (R0) (SpringerNature-43710) | ||