Browsing by Author "Aliyeva, G. N."

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    Decay of Solutions of Damped Kirchhoff and Beam Equations
    (Inst Applied Mathematics, 2022) Kalantarova, J. V.; Aliyeva, G. N.
    We obtain uniform estimates for solutions of second-order nonlinear nonautonomous differential-operator equation in a Hilbert space with structural damping. It is shown that when the given source term in the equation tends to zero as t -> infinity, the corresponding solution of the Cauchy problem for this equation also tends to zero as t -> infinity. Exponential decay of solutions for the corresponding autonomous equation is also obtained. Applications to the initial boundary value problems for some nonlinear Kirchhoff type and beam equations are given.