On continuous dependence for the mixed problem of microstretch bodies-Reference-Cited by-同舟云学术

On continuous dependence for the mixed problem of microstretch bodies

Published:2017-01-26 Issue:1 Volume:25 Page:131-143
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Marin M.¹,Abbas I.²,Cârstea C.¹

Affiliation:

1. Department of Mathematics and Computer Science, Transilvania University of Brasov, Bdul Iuliu Maniu, nr.50, Brasov , Romania

2. Department of Mathematics, Faculty of Science & Arts-Khulais, King AbdulAziz University, 21384 Jeddah , Saudi Arabia

Abstract

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.

Publisher

Walter de Gruyter GmbH

Reference19 articles.

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4. [4] Ciarletta, M, Svanadze, M. and Buonanno, L.: Plane waves and vibrations in the theory of micropolar thermoelasticity for materials with voids, European J. of Mech., A/Solids, 28(2009), 897-903,

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