The problem of determining the piezoelectric module of electroviscoelasticity equation

We consider the problem of finding the piezoelectric module e ( x 3 ), x 3 >0, occurring in the system of integro‐differential electroviscoelasticity equations. The medium density and the Lamé parameters are assumed to be function of one variable. The integrand K ( t ), t ∈ [0, T ] is known. As additional information, the Fourier transform of the second component of the displacement vector function for x 3 =0 is specified. The theorems on the existence of a unique solution of the inverse problem and the stability theorem are the research results.

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