@article{Anikushyn_Zhyvolovych_2021, title={Generalized solvability and optimal control for an integro-differential equation of a hyperbolic type}, url={https://itconfdoc.nuwm.edu.ua/index.php/ITConf/article/view/223}, DOI={10.31713/MCIT.2021.01}, abstractNote={<p class="AbstractText"><span lang="EN-US">We consider an integro-differential operator with Volterra type integral term. We provide a priory inequalities in negative norms for certain spaces. Further, using obtained inequalities we prove well-posedness (existence and uniqueness of the (weak) generalized solution) of the corresponding boundary value problem as well as a theorem on optimal control existence.</span></p>}, number={5}, journal={Modeling, Control and Information Technologies: Proceedings of International scientific and practical conference}, author={Anikushyn, Andrii and Zhyvolovych , Oleksandra}, year={2021}, month={Nov.}, pages={8–9} }