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Abstract
Today inverse problems of mathematical physics play an important role in science and applications [1]. Coefficient inverse problems for parabolic equations are problems of finding solutions of differential equation with one (or more) unknown coefficients. An inverse problem for a parabolic equation with a parameter is investigated. The parameter has the same dimension as the spatial variable. Inverse problems with unknown parameter arise in various problems: in studying boundaryvalue problems for mixed-type equations and equation systems [2, 3]; in solving various inverse problems [4–7]; in studying boundary-value problems for equation systems with small parameters [8, 9].
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