Inverse problem of determining the one-dimensional kernel of the viscoelasticity equation in a bounded domain
DK Durdiev, ZS Safarov - Mathematical notes, 2015 - Springer
The one-dimensional integro-differential equation arising in the theory of viscoelasticity with
constant density and Lamé coefficients is considered. The direct problem is to determine the …
constant density and Lamé coefficients is considered. The direct problem is to determine the …
Inverse problems for equations with memory
AL Bukhgeĭm, GV Dyatlov - Inverse problems and related topics, 2019 - taylorfrancis.com
We give an overview of some recent results obtained by the authors together with VM Isakov
and NI Kalinina for the problems of memory reconstruction. Most of the results concern the …
and NI Kalinina for the problems of memory reconstruction. Most of the results concern the …
Convolution kernel determination problem in the third order Moore–Gibson–Thompson equation
DK Durdiev, AA Boltaev, AA Rahmonov - Russian Mathematics, 2023 - Springer
This article is concerned with the study of the inverse problem of determining the difference
kernel in a Volterra type integral term function in the third-order Moore–Gibson–Thompson …
kernel in a Volterra type integral term function in the third-order Moore–Gibson–Thompson …
Uniqueness in one inverse problem for the elasticity system
AL Bukhgeim, GV Dyatlov, VB Kardakov… - Siberian Mathematical …, 2004 - Springer
We consider an inverse problem for the stationary elasticity system with constant Lame
coefficients and a variable matrix coefficient depending on the spatial variables and …
coefficients and a variable matrix coefficient depending on the spatial variables and …