Well-posedness of initial boundary value problems on longitudinal impact on a composite linear viscoelastic bar

被引：6
|
作者：
Aliev, Akbar B. [1 ]
Mammadhasanov, Elkhan H. [2 ]
机构：
[1] Azerbaijan Tech Univ, 25 Huseyn Javid Ave, AZ-1073 Baku, Azerbaijan
[2] Azerbaijan Natl Acad Sci, Inst Math & Mech, 9 B Vahabzadeh St, AZ-1141 Baku, Azerbaijan
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 14期
关键词：
well-posedness; nonstationary regularization in boundary conditions; composite linear visco-elastic bar; impulsive hyperbolic equations; PROPAGATION; RODS; WAVE;
D O I：
10.1002/mma.4392
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the correctness of the initial boundary value problem of longitudinal impact on a piecewise-homogeneous semi-infinite bar consisting of a semi-infinite elastic part and finite length visco-elastic part whose hereditary properties are described by linear integral relations with an arbitrary difference kernel. Introducing nonstationary regularization in boundary conditions and in the contact conditions, the well-posedness of the considered problem is proved. Copyright (C) 2017 JohnWiley & Sons, Ltd.
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页码：5380 / 5390
页数：11
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