TY - JOUR AU - Anikushyn, Andrii AU - Zhyvolovych , Oleksandra PY - 2021/11/21 Y2 - 2024/03/28 TI - Generalized solvability and optimal control for an integro-differential equation of a hyperbolic type JF - Modeling, Control and Information Technologies: Proceedings of International scientific and practical conference JA - MCIT VL - IS - 5 SE - DO - 10.31713/MCIT.2021.01 UR - https://itconfdoc.nuwm.edu.ua/index.php/ITConf/article/view/223 SP - 8-9 AB - <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> ER -