Global existence and asymptotic behavior for a viscoelastic Kirchhoff equation with a logarithmic nonlinearity, distributed delay and Balakrishnan-Taylor damping terms
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作者:
Choucha, Abdelbaki
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Univ El Oued, Fac Exact Sci, Dept Math, Lab Operator Theory & PDEs Fdn & Applicat, El Oued, Algeria
Amar Teledji Laghouat Univ, Fac Sci, Dept Math, Laghouat, AlgeriaUniv El Oued, Fac Exact Sci, Dept Math, Lab Operator Theory & PDEs Fdn & Applicat, El Oued, Algeria
Choucha, Abdelbaki
[1
,2
]
Boulaaras, Salah
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Qassim Univ, Coll Arts & Sci, Dept Math, Buraydah, Saudi ArabiaUniv El Oued, Fac Exact Sci, Dept Math, Lab Operator Theory & PDEs Fdn & Applicat, El Oued, Algeria
Boulaaras, Salah
[3
]
Alharbi, Asma
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Qassim Univ, Coll Arts & Sci, Dept Math, Buraydah, Saudi ArabiaUniv El Oued, Fac Exact Sci, Dept Math, Lab Operator Theory & PDEs Fdn & Applicat, El Oued, Algeria
Alharbi, Asma
[3
]
机构:
[1] Univ El Oued, Fac Exact Sci, Dept Math, Lab Operator Theory & PDEs Fdn & Applicat, El Oued, Algeria
A nonlinear viscoelastic Kirchhoff-type equation with a logarithmic nonlinearity, Balakrishnan-Taylor damping, dispersion and distributed delay terms is studied. We establish the global existence of the solutions of the problem and by the energy method we prove an explicit and general decay rate result under suitable hypothesis.