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Öğe Existence and uniqueness of an inverse problem for nonlinear Klein-Gordon equation(Wiley, 2019) Tekin, İbrahim; Mehraliyev, Yashar T.; Ismailov, Mansur I.In this paper, an initial boundary value problem for nonlinear Klein-Gordon equation is considered. Giving an additional condition, a time-dependent coefficient multiplying nonlinear term is determined, and existence and uniqueness theorem for small times is proved. The finite difference method is proposed for solving the inverse problem.