^{1}Martynyuk, AA^{1}S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv |

Dopov. Nac. akad. nauk Ukr. 2018, 9:3-11 |

Section: Mathematics |

Language: Russian |

Abstract: Some new estimates of the Lyapunov function for a nonlinear system and conditions of Lyapunov stability and stability on a finite interval are established. The above conditions are based on estimates of the norms of solutions of a nonlinear system of equations of perturbed motion. |

Keywords: estimate of the norm of solutions, Lyapunov function, nonlinear system of a general form, stability of motion |

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