On the System of Coupled Nondegenerate Kirchhoff Equations with Distributed Delay: Global Existence and Exponential Decay | Zendy

Abdelbaki Choucha | Zendy; Salah Boulaaras | Zendy; Djamel Ouchenane | Zendy; Salem Alkhalaf | Zendy; Ibrahim Mekawy | Zendy; Mohamed Abdalla | Zendy

Open Access

On the System of Coupled Nondegenerate Kirchhoff Equations with Distributed Delay: Global Existence and Exponential Decay

Author(s) -

Abdelbaki Choucha,

Salah Boulaaras,

Djamel Ouchenane,

Salem Alkhalaf,

Ibrahim Mekawy,

Mohamed Abdalla

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 - 10.1155/2021/5577277

Subject(s) - exponential stability , exponential decay , viscoelasticity , exponential function , exponential growth , mathematical analysis , energy method , stability (learning theory) , mathematics , energy (signal processing) , galerkin method , control theory (sociology) , physics , computer science , nonlinear system , quantum mechanics , thermodynamics , statistics , control (management) , machine learning , artificial intelligence

This paper studies the system of coupled nondegenerate viscoelastic Kirchhoff equations with a distributed delay. By using the energy method and Faedo-Galerkin method, we prove the global existence of solutions. Furthermore, we prove the exponential stability result.

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