On the solvability of a nonlocal boundary value problem for a loaded hyperbolic equations with multi-point conditions

Abstract

The nonlocal boundary value problem for the system of loaded hyperbolic equations with multi - point conditions are investigated. On the basis of a method of an introduction functional parameters an algorithms of finding approximate solution to considering problem are constructed and conditions their convergence are established. The conditions of an unique solvability to the nonlocal boundary value problem for the system of loaded hyperbolic equations with multi - point conditions are obtained in the terms of initial data.