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