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    Analysis of thermoelastic laminated Timoshenko beam with time-varying delay
    (Elsevier B.V., 2024) Founas, Besma; Yazid, Fares; Djeradi, Fatima Siham; Ouchenane, Djamel; Pişkin, Erhan; Boulaaras, Salah
    This document presents a study into a linear thermoelastic laminated Timoshenko beam featuring a time-varying delay. Utilizing the semigroup method and the variable norm technique, we establish the well-posedness of the system. Subsequently, leveraging the energy method under appropriate conditions, we demonstrate the system's exponential stability.
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    On a logarithmic wave equation with nonlinear dynamical boundary conditions: local existence and blow-up
    (Institute for Ionics, 2023) Irkıl, Nazlı; Mahdi, Khaled; Pişkin, Erhan; Alnegga, Mohammad; Boulaaras, Salah
    This paper deals with a hyperbolic-type equation with a logarithmic source term and dynamic boundary condition. Given convenient initial data, we obtained the local existence of a weak solution. Local existence results of solutions are obtained using the Faedo-Galerkin method and the Schauder fixed-point theorem. Additionally, under suitable assumptions on initial data, the lower bound time of the blow-up result is investigated.
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    Qualitative analysis of solutions for the p-Laplacian hyperbolic equation with logarithmic nonlinearity
    (Wiley, 2021) Pişkin, Erhan; Boulaaras, Salah; Irkıl, Nazlı; 0000-0001-6587-4479; 0000-0003-1308-2159
    In this paper, the p-Laplacian hyperbolic type equation with logarithmic nonlinearity and weak damping term are considered, where the global existence of solutions by using the potential well method is discussed. Furthermore, the growth and the decay estimates of solutions for the problem are studied.
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    Viscoelastic plate equation with variable exponents: existence and blow-up
    (Springer Science and Business Media B.V., 2024) Yılmaz, Nebi; Pişkin, Erhan; Boulaaras, Salah; 0000-0003-1308-2159; 0000-0001-6587-4479
    A nonlinear viscoelastic plate equation with variable exponents have been discussed in the present paper. Under various suitable condition on variable exponents, we investigate the existence of weak solutions and a finite time blow up result of solutions with negative initial energy as well as positive initial energy.