Аннотация
Abstract - In the present paper we formulate and investigate a one-dimensional inverse acoustic problem in the form of a nonlinear system of Volterra integral equations. We prove the conditional stability of the inverse problem with explicitly given Lipschitz constant depending only on the depth l and on bounds of the norms of the unknown coefficient and inverse problem data. The proposed technique can be applied to prove the local well-posedness of the inverse problem in L 2(0, l).