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EXISTENCE AND UNIFORM DECAY OF THE WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND BOUNDARY MEMORY SOURCE TERM

    https://doi.org/10.1142/9789812794253_0147Cited by:1 (Source: Crossref)
    Abstract:

    We consider the nonlinear model of the wave equation

    subject to the following nonlinear boundary conditions
    We show existence of solutions by means of Faedo-Galerkin method and the uniform decay is obtained by using of the multiplier technique.