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Publikováno v:
Ukrainian Mathematical Journal. 57:1077-1088
We consider the periodic boundary-value problem u tt − u xx = g(x, t), u(0, t) = u(π, t) = 0, u(x, t + ω) = u(x, t). By representing a solution of this problem in the form u(x, t) = u0(x, t) + ũ(x, t), where u0(x, t) is a solution of the corresp