ON SOLVABILITY OF THE LINEAR INVERSE PROBLEM WITH UNKNOWN COMPOSITE RIGHT-HAND SIDE IN HYPERBOLIC EQUATION

The solvability of the inverse problem with unknown composite right-hand side for second-order linear hyperbolic equation is studied. The essence of the problem is as follows: it is required to find together with solution the unknown right-hand side of the equation. The problem is considered in a cylindrical region, with set conditions being typical of the first boundary-value problem and with overdetermination conditions set over some sections $t=t_1$, $t=t_2$.

Keywords

inverse problem, hyperbolic equation, overdetermination conditions, nonlocal conditions