In this work, we consider an initial-boundary value problem of a plate equation in a bounded domain of Rn, with memory and the timeweighted function α(t). We apply the Faedo-Galerkin method and the contraction mapping principle to establish the local existence of weak solutions. Subsequently, we explore the dynamics of these weak solutions, focusing on global existence and finite-time blowup, using the Nehari manifold and modified concavity arguments. Furthermore, we derive the upper and lower bounds for the blow-up time of solutions with high-energy levels.

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