TY - JOUR AU - S. S. Zhumatov PY - 2014/04/25 Y2 - 2024/03/29 TI - Asymptotic Stability of Implicit Differential Systems in the Vicinity of Program Manifold JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 66 IS - 4 SE - Short communications DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2158 AB - Sufficient conditions for the asymptotic and uniform asymptotic stability of implicit differential systems in a neighborhood of the program manifold are established. Sufficient conditions of stability are also obtained for the known first integrals. A class of implicit systems for which it is possible to find the derivative of the Lyapunov function is selected. ER -