By Fritz Schwarz
After an introductory bankruptcy, the booklet presents the mathematical origin of linear differential equations, protecting Loewy's conception and Janet bases. the next chapters current effects from the idea of constant teams of a 2-D manifold and speak about the shut relation among Lie's symmetry research and the equivalence challenge. The middle chapters of the publication determine the symmetry periods to which quasilinear equations of order or 3 belong and remodel those equations to canonical shape. the ultimate chapters clear up the canonical equations and convey the overall options at any time when attainable in addition to supply concluding comments. The appendices include recommendations to chose workouts, beneficial formulae, homes of beliefs of monomials, Loewy decompositions, symmetries for equations from Kamke's assortment, and a short description of the software program approach ALLTYPES for fixing concrete algebraic problems.
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Additional resources for Algorithmic Lie Theory for Solving Ordinary Differential Equations (Chapman & Hall/CRC Pure and Applied Mathematics)
Algorithmic Lie Theory for Solving Ordinary Differential Equations (Chapman & Hall/CRC Pure and Applied Mathematics) by Fritz Schwarz