Classical Solution of a Problem with an Integral Condition for the One-Dimensional Wave Equationстатья
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Аннотация:We find a closed-form classical solution of the homogeneous wave equation with
Cauchy conditions, a boundary condition on the lateral boundary, and a nonlocal integral con-
dition involving the values of the solution at interior points of the domain. A classical solution is understood as a function that is defined everywhere in the closure of the domain and has all classical derivatives occurring in the equation and conditions of the problem. The deriva-tives are defined via the limit values of finite-difference ratios of the function and corresponding increments of the arguments.