Elastic membrane equation with dynamic boundary conditions and infinite memory

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چکیده

In this paper, we study the elastic membrane equation with dynamic boundary conditions, source term and a nonlinear weak damping localized on part of past history. Under some appropriate assumptions relaxation function general decay for energy have been established using perturbed Lyapunov functionals properties convex functions.

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ژورنال

عنوان ژورنال: Boletim da Sociedade Paranaense de Matemática

سال: 2022

ISSN: ['0037-8712', '2175-1188']

DOI: https://doi.org/10.5269/bspm.47621