The inverse problem of determination of a time-dependent multiplier of the right-hand side is studied for a semilinear ultraparabolic equation with integral overdetermination condition in a bounded domain. The conditions for the existence and uniqueness of solution of the posed problem are obtained.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 3, pp. 333–348, March, 2014.
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Protsakh, N.P. Inverse Problem for a Semilinear Ultraparabolic Equation with Unknown Right-Hand Side. Ukr Math J 66, 371–390 (2014). https://doi.org/10.1007/s11253-014-0937-4
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DOI: https://doi.org/10.1007/s11253-014-0937-4