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Linear differential Lappo-Danilevskii systems

S. A. Mazanik (2002)

Mathematica Bohemica

The class of linear differential systems with coefficient matrices which are commutative with their integrals is considered. The results on asymptotic equivalence of these systems and their distribution among linear systems are given.

Linearisation of second-order differential equations.

Eduardo Martínez (1996)

Extracta Mathematicae

Given a second order differential equation on a manifold we find necessary and sufficient conditions for the existence of a coordinate system in which the system is linear. The main tool to be used is a linear connection defined by the system of differential equations.

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