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EXPONENTIAL DECAY OF THERMO-ELASTIC BRESSE SYSTEM WITH DISTRIBUTED DELAY TERM
Author(s) -
Salah Zitouni,
Lamine Bouzettouta,
Khaled Zennir,
Djamel Ouchenane
Publication year - 2017
Publication title -
hacettepe journal of mathematics and statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.312
H-Index - 26
ISSN - 1303-5010
DOI - 10.15672/hjms.2017.498
Subject(s) - term (time) , mathematics , exponential function , exponential decay , exponential growth , mathematical analysis , nuclear physics , physics , quantum mechanics
The paper considered here is one-dimensional linear thermo-elastic  Bresse system with a distributed delay term in the first equation. We prove the well-posedness and exponential stability result, this later will  be shown without the usual assumption on the wave speeds. To achieve our goals, we make use of the semi-group method.

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