Abstract:
For distributed systems the notion of identifiability is formulated as legitimacy in A. N. Tikhonov's sense of solving the inverse identification problem. Theorems of existence, uniqueness, and stability of a solution are proved to the problem of parametric identification in the appropriate compact. For illustration, identifiability is analyzed of a one-dimensional nonlinear hyperbolic system of equations that describe a nonstationary water flux in an open bed.