On the constructing of solutions of the nonlocal initial boundary value problems for one-dimensional medium oscillation equations

Results are set out of the investigation of nonlocal initial boundary value problems with integral nonlocal boundary conditions for one-dimensional medium oscillation equations and solutions of the corresponding problems are constructed. In the case of string oscillation equation applying the method of reflected wave, we reduce the formulated nonlocal problem to the special type integral equation as well as for telegraph equation, where we use potentials of special type.