We study a nonlocal (in time) problem for semilinear multidimensional wave equations. The theorems on existence and uniqueness of solutions of this problem are proved.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 1, pp. 88–105, January, 2015.
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Kharibegashvili, S., Midodashvili, B. On the Solvability of a Problem Nonlocal in Time for a Semilinear Multidimensional Wave Equation. Ukr Math J 67, 98–119 (2015). https://doi.org/10.1007/s11253-015-1067-3
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DOI: https://doi.org/10.1007/s11253-015-1067-3