By Fritz Schwarz
After an introductory bankruptcy, the publication offers the mathematical starting place of linear differential equations, overlaying Loewy's idea and Janet bases. the next chapters current effects from the speculation of constant teams of a 2-D manifold and talk about the shut relation among Lie's symmetry research and the equivalence challenge. The center chapters of the publication determine the symmetry periods to which quasilinear equations of order or 3 belong and rework those equations to canonical shape. the ultimate chapters remedy the canonical equations and bring the overall strategies each time attainable in addition to supply concluding feedback. The appendices include recommendations to chose workouts, precious formulae, houses of beliefs of monomials, Loewy decompositions, symmetries for equations from Kamke's assortment, and a short description of the software program procedure 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