Sib. Èlektron. Mat. Izv., 2019, Volume 16, Pages 144–157
Differentical equations, dynamical systems and optimal control
Inverse problems for a mixed parabolic-hyperbolic equation with a degenerate parabolic part
S. N. Sidorov
Sterlitamak branch of the Institute of Strategic Studies of the Republic of
68, Odesskaya str.,
Sterlitamak, 453103, Russia
In this paper, inverse problems are posed and studied to determine the factors of the right-hand sides of a mixed parabolic-hyperbolic type with a degenerate parabolic part, depending on time. On the basis of the theory of integral equations, the corresponding uniqueness theorems and the existence of solutions of inverse problems were proved, and explicit formulas for the solution were obtained.
equation of mixed parabolic-hyperbolic type, initial-boundary value problem, inverse problems, uniqueness, existence, series, small denominators, integral equations.
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Received November 30, 2018, published January 31, 2019
S. N. Sidorov, “Inverse problems for a mixed parabolic-hyperbolic equation with a degenerate parabolic part”, Sib. Èlektron. Mat. Izv., 16 (2019), 144–157
Citation in format AMSBIB
\paper Inverse problems for a mixed parabolic-hyperbolic equation with a degenerate parabolic part
\jour Sib. \`Elektron. Mat. Izv.
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