@article{Tunç_Mohammed_2020, title={On asymptotically stability, uniformly stability and boundedness of solutions of nonlinear Volterra integro-differential equations}, volume={72}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/6037}, DOI={10.37863/umzh.v72i12.6037}, abstractNote={<p>UDC 517.9</p> <p>In this paper, two new Lyapunov functionals are defined. <br>We apply these functionals to get sufficient conditions guaranteeing the asymptotic stability, uniform stability, and boundedness of solutions of certain nonlinear Volterra integro-differential equations of the first order. <br>The results obtained are improvements and extensions of known results that can be found in literature. <br>We also suggest examples to show the applicability of our results and for the sake of illustrations. <br>Using MATLAB-Simulink, in particular cases we clearly show the behavior of orbits of Volterra integro-differential equations under consideration.</p&gt;}, number={12}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Tunç, C. and Mohammed , S. A.}, year={2020}, month={Dec.}, pages={1708-1720} }