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Oscillation, suboscillation and nonoscillation criteria for linear systems of ordinary differential equations

Published 1 Dec 2022 in math.CA | (2212.00310v1)

Abstract: The Riccati equation method and an approach of the use of unknown factors is used to establish oscillation, suboscillation and nonoscillation criteria for linear systems of ordinary differential equations. A necessary condition for Lyapunov (asymptotic) stability for these systems is obtained.

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