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The problem of determining the piezoelectric module of electroviscoelasticity equation
Author(s) -
Totieva Zhanna Dmitrievna
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5167
Subject(s) - mathematics , mathematical analysis , function (biology) , inverse problem , fourier transform , displacement (psychology) , variable (mathematics) , inverse , stability (learning theory) , differential equation , piezoelectricity , component (thermodynamics) , geometry , psychology , physics , evolutionary biology , machine learning , materials science , composite material , computer science , psychotherapist , biology , thermodynamics
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.