Inverse problems for evolution equations of the integrodifferential type
type: Item
instance of: scholarly article
title: Inverse problems for evolution equations of the integrodifferential type
zbMATH Open document ID: 0605.45012
DOI: 10.1016/0021-8928(85)90061-9
author: T. A. Tobias
author: Jüri Engelbrecht
published in: Journal of Applied Mathematics and Mechanics
publication date: 1985-01-01T00:00:00Z
review text: The problem of determining the relaxation kernel using a solution of the inverse problem for an evolution equation which describes the distortion of the profile of an individual wave is analyzed. The general case when the kernel is specified in parametric form, and the special case of an exponential kernel, are considered. The nonlinear inverse problem is solved using the gradient method. For a linear equation the possibility of using the Laplace transform method is pointed out.
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 3977664
zbMATH Keywords: relaxation kernel
zbMATH Keywords: evolution equation
zbMATH Keywords: nonlinear inverse problem
zbMATH Keywords: gradient method
zbMATH Keywords: Laplace transform method
MaRDI profile type: Publication
full work available at URL: 0021-8928(85)90061-9
OpenAlex ID: W2016189034
cites work: The Bulk Response of Viscoelastic Solids
cites work: Q3042530
cites work: One-dimensional deformation waves in nonlinear viscoelastic media
cites work: Q3933322
cites work: Non-linear dispersive waves
cites work: Q3048493
cites work: Q4746738
cites work: Q3879140
description: scientific article; zbMATH DE number 3977664