On some inverse problems for a degenerate parabolic equation with involution

Abstract In this paper, the solvability of some initial-boundary value problems is considered for a nonlocal analogue of the degenerate parabolic equation. The inverse problems are studied for the case where it is necessary to find not only a solution to the equation but also the function in its right-hand side. The theorems on the existence and uniqueness of the solution to the considered problems are proved.