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References:

[1] O. Vejvoda: **Periodic solution of a linear and weakly nonlinear wave equation in one dimension**. Czech. Mat. Journ. 14 (89), 1964. MR 0174872 | Zbl 0178.45302

[2] M. Sova: **Abstract semilinear equations with small nonlinearities**. CMUC, no 4, p. 685,1971. MR 0291912 | Zbl 0235.47034

[3] N. Krylová: **Periodic solutions of hyperbolic partial differential equation with quadratic dissipative term**. Czech. Mat. Journ. 20 (95), 1970. MR 0283358