Inverse Problem for a Weakly Nonlinear Ultraparabolic Equation with Three Unknown Functions of Different Arguments on the Right-Hand Side


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Abstract

We study the inverse problem of determination of three unknown functions of different arguments on the right-hand side of a weakly nonlinear ultraparabolic equation with integral overdetermination conditions. Conditions for the existence and uniqueness of the general solution of the analyzed problem are established.

About the authors

N. P. Protsakh

Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences

Author for correspondence.
Email: protsakh@ukr.net
Ukraine, Naukova Str., 3b, Lviv, 79060

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