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The problem of determining the piezoelectric module of electroviscoelasticity equation

Zhanna D. TotievaDepartment of Mathematics and Information Technology North Ossetian State University Vladikavkaz Russia
2018en
ABI

Abstract

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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