ABOUT STABILITY OF SYSTEMS OF THE LINEAR DIFFERENTIAL EQUATIONS SECOND THIRD AND FOURTH LOCK

Konashenko A.V. Rodionova G.S,

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In this paper we consider the linear differential equations of the second, third and fourth order with constant coefficients, and the corresponding perturbed system in terms of the perturbation of the coefficients of the original systems. The main question studied in this paper is the question of stability and asymptotic stability of solutions of the corresponding systems of Lyapunov. The modified stability conditions in terms of coefficients of matrixes of data of systems of the linear differential equations are received, and the main theorems of this work contain both necessary and sufficient stability conditions. The results concerning stability of the relevant indignant systems are received. Also work is accompanied by concrete examples in which application of the new received modified conditions is illustrated. Results of this work can be useful to all researchers who are engaged in mathematical modeling of any real tasks at which the creation of models systems of the linear differential equations are used.

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Конашенко А.В, Родионова Г.С ОБ УСТОЙЧИВОСТИ СИСТЕМ ЛИНЕЙНЫХ ДИФФЕРЕНЦИАЛЬНЫХ УРАВНЕНИЙ ВТОРОГО, ТРЕТЬЕГО И ЧЕТВЕРТОГО ПОРЯДКА // Научное обозрение. Физико-математические науки . 2020. № 1. С. 33-34;
URL: https://physics-mathematics.ru/en/article/view?id=37 (дата обращения: 24.06.2026).