Geodesic
On one damping problem for a nonstationary control system with aftereffect
Contemporary Mathematics. Fundamental Directions, Proceedings of the S.M. Nikolskii Mathematical Institute of RUDN University, Tome 65 (2019) no. 4, pp. 547-556

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We consider a control system described by the system of differential-difference equations of neutral type with variable matrix coefficients and several delays. We establish the relation between the variational problem for the nonlocal functional describing the multidimensional control system with delays and the corresponding boundary-value problem for the system of differential-difference equations. We prove the existence and uniqueness of the generalized solution of this boundary-value problem. 
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     author = {A. S. Adkhamova and A. L. Skubachevskii},
     title = {On one damping problem for a nonstationary control system with aftereffect},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {547--556},
     publisher = {mathdoc},
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     number = {4},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2019_65_4_a0/}
}
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A. S. Adkhamova; A. L. Skubachevskii. On one damping problem for a nonstationary control system with aftereffect. Contemporary Mathematics. Fundamental Directions, Proceedings of the S.M. Nikolskii Mathematical Institute of RUDN University, Tome 65 (2019) no. 4, pp. 547-556. http://geodesic.mathdoc.fr/item/CMFD_2019_65_4_a0/