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Siberian Mathematical Journal

, Volume 58, Issue 3, pp 427–444 | Cite as

The problem of determining the one-dimensional kernel of the electroviscoelasticity equation

  • D. K. DurdievEmail author
  • Zh. D. Totieva
Article

Abstract

We consider the problem of finding the kernel K(t), for t ∈ [0, T], in the integrodifferential system of electroviscoelasticity. We assume that the coefficients depend only on one spatial variable. Replacing the inverse problem with an equivalent system of integral equations, we apply the contraction mapping principle in the space of continuous functions with weighted norms. We prove a global unique solvability theorem and obtain a stability estimate for the solution to the inverse problem.

Keywords

inverse problem stability delta-function elasticity moduli kernel 

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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Bukhara State UniversityBukharaUzbekistan
  2. 2.Geophysics InstituteNorth-Ossetian State UniversityVladikavkazRussia

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