Geodesic
Exponential decay and global existence of solutions of a singular nonlocal viscoelastic system with distributed delay and damping terms
Filomat, Tome 35 (2021) no. 3, p. 795

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We investigate in this work a singular one-dimensional viscoelastic system with a nonlinear source term, distributed delay, nonlocal boundary condition, and damping terms. By the theory of potential-well, the existence of a global solution is established, and by the energy method and the functional of Lyapunov, we prove the exponential decay result. This work is an extension of Boulaaras' work in ([3] and [27])
DOI : 10.2298/FIL2103795C
Classification : 35L35, 35L20
Keywords: Viscoelastic equations, Global existence, General decay, Lyapunov functional, Distributed delay 
Abdelbaki Choucha; Salah Boulaaras; Djamel Ouchenane. Exponential decay and global existence of solutions of a singular nonlocal viscoelastic system with distributed delay and damping terms. Filomat, Tome 35 (2021) no. 3, p. 795 . doi: 10.2298/FIL2103795C
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     author = {Abdelbaki Choucha and Salah Boulaaras and Djamel Ouchenane},
     title = {Exponential decay and global existence of solutions of a singular nonlocal viscoelastic system with distributed delay and damping terms},
     journal = {Filomat},
     pages = {795 },
     year = {2021},
     volume = {35},
     number = {3},
     doi = {10.2298/FIL2103795C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2103795C/}
}
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