On continuous dependence for the mixed problem of microstretch bodies

被引:2
|
作者
Marin, M. [1 ]
Abbas, I. [2 ,3 ]
Carstea, C. [1 ]
机构
[1] Transilvania Univ Brasov, Dept Math & Comp Sci, Bdul Iuliu Maniu 50, Brasov, Romania
[2] King Abdulaziz Univ, Fac Sci & Arts Khulais, Dept Math, Jeddah 21384, Saudi Arabia
[3] Sohag Univ, Fac Sci, Dept Math, Sohag 82524, Egypt
关键词
Elasticity; Microstretch; Evolution equations; Semi-group of contractions; THERMOELASTICITY; BOUNDARY; SOLIDS;
D O I
10.1515/auom-2017-0011
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We do a qualitative study on the mixed initial-boundary value problem in the elastodynamic theory of microstretch bodies. After we transform 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.
引用
收藏
页码:131 / 143
页数:13
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