Yazar "Boulaaras, Salah Mahmoud" seçeneğine göre listele

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    Existence, decay, and blow-up of solutions for a higher-order Kirchhoff-type equation with delay term
    (Hindawi LTD, 2021) Yüksekkaya, Hazal; Pişkin, Erhan; Boulaaras, Salah Mahmoud; Cherif, Bahri Belkacem
    This article deals with the study of the higher-order Kirchhoff-type equation with delay term in a bounded domain with initial boundary conditions, where firstly, we prove the global existence result of the solution. Then, we discuss the decay of solutions by using Nakao's technique and denote polynomially and exponentially. Furthermore, the blow-up result is established for negative initial energy under appropriate conditions.
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    Existence, nonexistence, and stability of solutions for a delayed plate equation with the logarithmic source
    (Hindawi Limited, 2021) Yüksekkaya, Hazal; Pişkin, Erhan; Boulaaras, Salah Mahmoud; Cherif, Bahri Belkacem; Zubair, Sulima Ahmed
    In this work, we study a plate equation with time delay in the velocity, frictional damping, and logarithmic source term. Firstly, we obtain the local and global existence of solutions by the logarithmic Sobolev inequality and the Faedo-Galerkin method. Moreover, we prove the stability and nonexistence results by the perturbed energy and potential well methods.
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    Global Existence and General Decay of Solutions for a Quasilinear System with Degenerate Damping Terms
    (Hindawi Ltd, 2021) Ekinci, Fatma; Piskin, Erhan; Boulaaras, Salah Mahmoud; Mekawy, Ibrahim
    In this work, we consider a quasilinear system of viscoelastic equations with degenerate damping, dispersion, and source terms under Dirichlet boundary condition. Under some restrictions on the initial datum and standard conditions on relaxation functions, we study global existence and general decay of solutions. The results obtained here are generalization of the previous recent work.
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    On a couple of nonlocal singular viscoelastic equations with damping and general source terms: Blow-up of solutions
    (Hindawi LTD, 2021) Pişkin, Erhan; Boulaaras, Salah Mahmoud; Kandemir, Hasan; Cherif, Bahri Belkacem; Biomy, Mohamed
    Under some given conditions, we prove the explosion result of the solution of the system of nonlocal singular viscoelastic with damping and source terms on general case. This current study is a general case of the previous work of Boulaaras.