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Well‐posedness of initial boundary value problems on longitudinal impact on a composite linear viscoelastic bar
Author(s) -
Aliev Akbar B.,
Mammadhasanov Elkhan H.
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4392
Subject(s) - mathematics , boundary value problem , bar (unit) , mathematical analysis , viscoelasticity , piecewise , regularization (linguistics) , homogeneous , correctness , physics , algorithm , combinatorics , artificial intelligence , meteorology , computer science , thermodynamics
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 © 2017 John Wiley & Sons, Ltd.