On continuous dependence for the mixed problem of microstretch bodies

M. Marin; I. Abbas; C. Cârstea

doi:10.1515/auom-2017-0011

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On continuous dependence for the mixed problem of microstretch bodies

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 25 (2017): Issue 1 (January 2017)

By: M. Marin, I. Abbas and C. Cârstea

Open Access

|Sep 2017

Abstract

We do a qualitative study on the mixed initial-boundary value problem in the elastodynamic theory of microstretch bodies. After we trans- form this problem in a temporally evolutionary equation on a Hilbert space, we will use some results from the theory of semigroups of linear operators in order to prove the continuous dependence of the solutions upon initial data and supply terms.

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Articles in this issue

DOI: https://doi.org/10.1515/auom-2017-0011 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 131 - 143

Submitted on: Nov 2, 201

Accepted on: Apr 29, 2016

Published on: Sep 21, 2017

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Elasticity,

Microstretch,

Evolution equations,

Semi-group of contractions

Related subjects:

Mathematics,

General mathematics

© 2017 M. Marin, I. Abbas, C. Cârstea, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 25 (2017): Issue 1 (January 2017)