TY - JOUR AU - A. Dorgham AU - M. Hammi AU - M. A. Hammami PY - 2021/05/24 Y2 - 2024/03/29 TI - Asymptotic behavior of a class of perturbed differential equations JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 73 IS - 5 SE - Research articles DO - 10.37863/umzh.v73i5.232 UR - https://umj.imath.kiev.ua/index.php/umj/article/view/232 AB - UDC 517.9This paper deals with the problem of stability of nonlinear differential equations with perturbations. Sufficient conditions for global uniform asymptotic stability in terms of Lyapunov-like functions and integral inequality are obtained. The asymptotic behavior is studied in the sense that the trajectories converge to a small ball centered at the origin. Furthermore, an illustrative example in the plane is given to verify the effectiveness of the theoretical results.   ER -