@article{Vlasenko_Samoilenko_2009, title={Optimal control with impulsive component for systems described by implicit parabolic operator differential equations}, volume={61}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/3080}, abstractNote={We study the problem of optimal control with impulsive component for systems described by abstract Sobolev-type differential equations with unbounded operator coefficients in Hilbert spaces. The operator coefficient of the time derivative may be noninvertible. The main assumption is a restriction imposed on the resolvent of the characteristic operator pencil in a certain right half plane. Applications to Sobolevtype partial differential equations are discussed.}, number={8}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={Vlasenko, L. A. and Samoilenko, A. M.}, year={2009}, month={Aug.}, pages={1053-1065} }