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

2022/12/01 by G. A. Grigorian, Grigorian, G. A.
Engineering · Mathematics · #34C10 #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #Elasticity and Wave Propagation #F.2.2 #FOS: Mathematics #I.2.7

paper · pdf · doi:10.48550/arxiv.2212.00310

openalex publication_date 2022/12/01 · openalex created_date 2022/12/13 · openalex updated_date 2026/07/28

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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