@article{Dorgham_Hammi_Hammami_2021, title={Asymptotic behavior of a class of perturbed differential equations}, volume={73}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/232}, DOI={10.37863/umzh.v73i5.232}, abstractNote={<p>UDC 517.9</p> <p>This paper deals with the problem of stability of nonlinear differential equations with perturbations. <br>Sufficient conditions for global uniform asymptotic stability in terms of Lyapunov-like functions and integral inequality are obtained. <br>The asymptotic behavior is studied in the sense that the trajectories converge to a small ball centered at the origin. <br>Furthermore, an illustrative example in the plane is given to verify the effectiveness of the theoretical results.</p> <p>&nbsp;</p> <p>&nbsp;</p&gt;}, number={5}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Dorgham, A. and Hammi, M. and Hammami , M. A.}, year={2021}, month={May}, pages={627 - 639} }