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## Exponential decay of thermo-elastic Bresse system with distributed delay term

#### S. Zitouni [1] , L. Bouzettouta [2] , Kh. Zennir [3] , D. Ouchenane [4]

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.
Bresse system, Delay terms, Decay rate, Lyaponov method, Thermo- elastic
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Primary Language en Mathematics Mathematics Author: S. Zitouni (Primary Author)Institution: UNİVERSITY OF SOUK AHRASCountry: Algeria Author: L. BouzettoutaInstitution: UNIVERSITY BADJI MOKHTAR, ANNABACountry: Algeria Author: Kh. ZennirInstitution: DEPARTMENT OF MATHEMATICS, COLLEGE OF SCIENCES AND ARTS, AL-RASS, QASSIM UNIVERSITYCountry: United Arab Emirates Author: D. OuchenaneInstitution: LABORATORY OF PURE MATHEMATICS AND APPLICATIONSCountry: Algeria Publication Date : October 16, 2018
 Bibtex @research article { hujms471148, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2018}, volume = {47}, pages = {1216 - 1230}, doi = {}, title = {Exponential decay of thermo-elastic Bresse system with distributed delay term}, key = {cite}, author = {Zitouni, S. and Bouzettouta, L. and Zennir, Kh. and Ouchenane, D.} } APA Zitouni, S , Bouzettouta, L , Zennir, K , Ouchenane, D . (2018). Exponential decay of thermo-elastic Bresse system with distributed delay term. Hacettepe Journal of Mathematics and Statistics , 47 (5) , 1216-1230 . Retrieved from https://dergipark.org.tr/en/pub/hujms/issue/39860/471148 MLA Zitouni, S , Bouzettouta, L , Zennir, K , Ouchenane, D . "Exponential decay of thermo-elastic Bresse system with distributed delay term". Hacettepe Journal of Mathematics and Statistics 47 (2018 ): 1216-1230 Chicago Zitouni, S , Bouzettouta, L , Zennir, K , Ouchenane, D . "Exponential decay of thermo-elastic Bresse system with distributed delay term". Hacettepe Journal of Mathematics and Statistics 47 (2018 ): 1216-1230 RIS TY - JOUR T1 - Exponential decay of thermo-elastic Bresse system with distributed delay term AU - S. Zitouni , L. Bouzettouta , Kh. Zennir , D. Ouchenane Y1 - 2018 PY - 2018 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1216 EP - 1230 VL - 47 IS - 5 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2017 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Exponential decay of thermo-elastic Bresse system with distributed delay term %A S. Zitouni , L. Bouzettouta , Kh. Zennir , D. Ouchenane %T Exponential decay of thermo-elastic Bresse system with distributed delay term %D 2018 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 47 %N 5 %R %U ISNAD Zitouni, S. , Bouzettouta, L. , Zennir, Kh. , Ouchenane, D. . "Exponential decay of thermo-elastic Bresse system with distributed delay term". Hacettepe Journal of Mathematics and Statistics 47 / 5 (October 2018): 1216-1230 . AMA Zitouni S , Bouzettouta L , Zennir K , Ouchenane D . Exponential decay of thermo-elastic Bresse system with distributed delay term. Hacettepe Journal of Mathematics and Statistics. 2018; 47(5): 1216-1230. Vancouver Zitouni S , Bouzettouta L , Zennir K , Ouchenane D . Exponential decay of thermo-elastic Bresse system with distributed delay term. Hacettepe Journal of Mathematics and Statistics. 2018; 47(5): 1230-1216.