A New Result of Stability for Thermoelastic-Bresse System of Second Sound Related with Forcing, Delay, and Past History Terms | Zendy

Djamel Ouchenane | Zendy; Zineb Khalili | Zendy; Fares Yazid | Zendy; Mohamed Abdalla | Zendy; Bahri Cherif | Zendy; Ibrahim Mekawy | Zendy

Open Access

A New Result of Stability for Thermoelastic-Bresse System of Second Sound Related with Forcing, Delay, and Past History Terms

Author(s) -

Djamel Ouchenane,

Zineb Khalili,

Fares Yazid,

Mohamed Abdalla,

Bahri Cherif,

Ibrahim Mekawy

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 - 10.1155/2021/9962569

Subject(s) - thermoelastic damping , forcing (mathematics) , exponential stability , displacement (psychology) , stability (learning theory) , semigroup , term (time) , mathematics , infinity , mathematical analysis , control theory (sociology) , physics , nonlinear system , computer science , thermodynamics , psychology , quantum mechanics , thermal , machine learning , psychotherapist , control (management) , artificial intelligence

We consider a one-dimensional linear thermoelastic Bresse system with delay term, forcing, and infinity history acting on the shear angle displacement. Under an appropriate assumption between the weight of the delay and the weight of the damping, we prove the well-posedness of the problem using the semigroup method, where an asymptotic stability result of global solution is obtained.

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