On one coefficient inverse boundary value problem for a linear pseudoparabolic equation of the fourth order

In the present work, we consider an inverse boundary value problem for a fourth order pseudo parabolic equation with periodic and integral condition. Using analytical and operator-theoretic methods, as well as the Fourier method, the existence and uniqueness of the classical solution of this problem is proved. By the contraction mapping principle is formulated as an auxiliary inverse problem which, in turn, is reduced to the operator equation in a specified Banach space using the method of spectral analysis.