On the decay of solutions for a class of quasilinear hyperbolic equations with non‐linear damping and source terms

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Blowup in solutions of a quasilinear wave equation with variable‐exponent nonlinearities (2017, result): “They gave an energy-decay estimate for the solutions and extended the results of Yang(9) and Messaoudi.(10) In 2015, Mokeddem and Mansour(11) considered the same problem of Benaissa and Mokeddem(8) with some modifications.”
Exponential stability for a plate equation with p‐Laplacian and memory terms (2012, methodology): “In the dissipative case, by adding a viscosity term ut , pioneering works were given by Greenberg, MacCamy, and Mizel [14, 15] and Tsutsumi [16], which inspired the results in, for example, [17–22].”
Wave Equation with p(x,t) - Laplacian and Damping Term: Existence and Blow-up (2011, unknown): “,[18, 19, 20, 21, 23, 24, 25, 26, 28, 29, 30, 31, 33, 37, 40, 41, 42, 43, 44, 45, 46, 47] and the further references therein.”