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Доповіді НАН України. – 2007. – N 1. – С. 7–11.

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Диагонализация линейных автономных динамических систем

А.М. Ковалев

Abstract
A system of linear differential equations with constant coefficients is transformed to the linear-diagonal form. Explicit formulas of a nonlinear transformation of the Jordan normal form for the linear differential system to a linear-diagonal one are obtained. The case where all characteristic numbers of the system are equal to zero is considered separately. The integrals of linear autonomous dynamical systems are constructed.

Повний текст статі в pdf-форматі

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