ON CAUCHY PROBLEM FOR FIRST-ORDER PARTIAL DIFFERENTIAL EQUATION AND ITS APPLICATIONS IN INVERSION THEORY

ON CAUCHY PROBLEM FOR FIRST-ORDER PARTIAL DIFFERENTIAL EQUATION AND ITS APPLICATIONS IN INVERSION THEORY

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The inverse coefficient problem for the second-order operator in the simply connected domain with the piecewise-smooth boundary arising in the theory of the deformable system vibrations is investigated. The solution method for the inverse coefficient problem based on studying Cauchy problem for the...

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Main Authors: Alexander Ovanesovich Vatulyan, Lusine Surenovna Gukasyan
Format: Article
Language:Russian
Published: Don State Technical University 2018-07-01
Series:Вестник Донского государственного технического университета
Subjects:
cauchy problem, inverse coefficient problem, difference schemes.
Online Access:https://vestnik.donstu.ru/jour/article/view/644
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spelling doaj-cdd9f4fdbcdc473aaf1dfcd99f5639252020-11-25T03:25:53ZrusDon State Technical UniversityВестник Донского государственного технического университета1992-59801992-60062018-07-011271120636ON CAUCHY PROBLEM FOR FIRST-ORDER PARTIAL DIFFERENTIAL EQUATION AND ITS APPLICATIONS IN INVERSION THEORYAlexander Ovanesovich Vatulyan0Lusine Surenovna Gukasyan1Don State Technical University.Don State Technical UniversityThe inverse coefficient problem for the second-order operator in the simply connected domain with the piecewise-smooth boundary arising in the theory of the deformable system vibrations is investigated. The solution method for the inverse coefficient problem based on studying Cauchy problem for the first-order differential equation with variable coefficients is offered. Both direct and inverse problems are solved on the ground of the difference approximations method. The reconstruction of the variable shear modulus of various types, obtained at both accurate and noisy input data, is resulted.https://vestnik.donstu.ru/jour/article/view/644cauchy problem, inverse coefficient problem, difference schemes.
collection DOAJ
language Russian
format Article
sources DOAJ
author Alexander Ovanesovich Vatulyan
Lusine Surenovna Gukasyan
spellingShingle Alexander Ovanesovich Vatulyan
Lusine Surenovna Gukasyan
ON CAUCHY PROBLEM FOR FIRST-ORDER PARTIAL DIFFERENTIAL EQUATION AND ITS APPLICATIONS IN INVERSION THEORY
Вестник Донского государственного технического университета
cauchy problem, inverse coefficient problem, difference schemes.
author_facet Alexander Ovanesovich Vatulyan
Lusine Surenovna Gukasyan
author_sort Alexander Ovanesovich Vatulyan
title ON CAUCHY PROBLEM FOR FIRST-ORDER PARTIAL DIFFERENTIAL EQUATION AND ITS APPLICATIONS IN INVERSION THEORY
title_short ON CAUCHY PROBLEM FOR FIRST-ORDER PARTIAL DIFFERENTIAL EQUATION AND ITS APPLICATIONS IN INVERSION THEORY
title_full ON CAUCHY PROBLEM FOR FIRST-ORDER PARTIAL DIFFERENTIAL EQUATION AND ITS APPLICATIONS IN INVERSION THEORY
title_fullStr ON CAUCHY PROBLEM FOR FIRST-ORDER PARTIAL DIFFERENTIAL EQUATION AND ITS APPLICATIONS IN INVERSION THEORY
title_full_unstemmed ON CAUCHY PROBLEM FOR FIRST-ORDER PARTIAL DIFFERENTIAL EQUATION AND ITS APPLICATIONS IN INVERSION THEORY
title_sort on cauchy problem for first-order partial differential equation and its applications in inversion theory
publisher Don State Technical University
series Вестник Донского государственного технического университета
issn 1992-5980
1992-6006
publishDate 2018-07-01
description The inverse coefficient problem for the second-order operator in the simply connected domain with the piecewise-smooth boundary arising in the theory of the deformable system vibrations is investigated. The solution method for the inverse coefficient problem based on studying Cauchy problem for the first-order differential equation with variable coefficients is offered. Both direct and inverse problems are solved on the ground of the difference approximations method. The reconstruction of the variable shear modulus of various types, obtained at both accurate and noisy input data, is resulted.
topic cauchy problem, inverse coefficient problem, difference schemes.
url https://vestnik.donstu.ru/jour/article/view/644
work_keys_str_mv AT alexanderovanesovichvatulyan oncauchyproblemforfirstorderpartialdifferentialequationanditsapplicationsininversiontheory
AT lusinesurenovnagukasyan oncauchyproblemforfirstorderpartialdifferentialequationanditsapplicationsininversiontheory
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