Inverse boundary-value problem for a pseudoparabolic-pseudohyperbolic integro-differential equation

In this paper, we examine the solvability of a nonlocal inverse boundary-value problem for a mixed pseudoparabolic-pseudohyperbolic integro-differential equation with spectral parameters. Regular and irregular values of the spectral parameters are found. For regular values of spectral parameters, we obtain a criterion for the unique solvability of the inverse boundary-value problem. For irregular values of spectral parameters, we establish a criterion for the existence of an infinite set of solutions.