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Conditions for linearization of a projectable system of two second-order ordinary differential equations. (English) Zbl 1173.34302

The authors studiy the linearization of a system of second-order ordinary differential equations. A new method of sequential linearization of a particular system, the so call projectable system, is studied. Examples of systems of equations that are not linearizable via point transformations, but linearizable by the proposed method, are given.

MSC:

34A34 Nonlinear ordinary differential equations and systems
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