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On a Nonhomogeneous Timoshenko System with Nonlocal Constraints
Author(s) -
Saïd Mesloub,
Faten Aldosari
Publication year - 2021
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.579
H-Index - 28
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2021/6674060
Subject(s) - uniqueness , a priori and a posteriori , mathematics , mathematical analysis , boundary (topology) , type (biology) , boundary value problem , geology , philosophy , epistemology , paleontology
Our main concern in this paper is to prove the well posedness of a nonhomogeneous Timoshenko system with two damping terms. The system is supplemented by some initial and nonlocal boundary conditions of integral type. The uniqueness and continuous dependence of the solution on the given data follow from some established a priori bounds, and the proof of the existence of the solution is based on some density arguments.

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