TY - JOUR N2 - The paper is devoted to the finding of the coefficient of one nonlinear wave equation in the mixed problem. The considered problem is reduced to the optimal control problem with proper functional. Differentiability of functional is proved and the necessary optimality conditions are derived in the form of the variational inequality. Existence of the optimal control is proved. L1 - http://www.czasopisma.pan.pl/Content/116644/PDF/art01.pdf L2 - http://www.czasopisma.pan.pl/Content/116644 PY - 2020 IS - No 2 EP - 212 DO - 10.24425/acs.2020.133497 KW - hyperbolic equation KW - nonlinear wave equation KW - optimal control problem KW - necessary condition A1 - Safarova, Zumrud R. PB - Committee of Automatic Control and Robotics PAS VL - vol. 30 DA - 2020.06.29 T1 - On a finding the coefficient of one nonlinear wave equation in the mixed problem SP - 199 UR - http://www.czasopisma.pan.pl/dlibra/publication/edition/116644 T2 - Archives of Control Sciences ER -