A nonlocal problem with integral conditions for one-dimensional biwave equation

The main aim of this work is to consider classical solution of the nonlocal problem for a bi-wave equation with integral conditions of the first kind. The main goal is to show the method which allows to prove solvability of a nonlocal problem with integral conditions of the first kind. Under smoothness and matching conditions of the given functions, existence and uniqueness of the solution of the problem are proved. Moreover, making use of characteristics method, the analytical solution of the problem is provided as well.