On Certain Method for Studying the Solvability of a Nonlocal Problem for the Boussinesq–Love Equation

This paper deals with the initial value problem with two nonlocal integral conditions in a rectangle for the Boussinesq–Love equation. The research method used is based on reducing the original problem to two second-order equations, transitioning to an operator equation and justifying its solvability. As a result of the work, a theorem on the existence and uniqueness of a solution to the problem was formulated.