On some wave, Bresse and plate equations by means of finite and infinite memories in the presence of variable exponents and some nonlinearities

In this project, we consider some problems related to damped wave, Bresse and plate equations by means of finite and infinite memories in the presence of variable exponents and some nonlinearities where the relaxation function satisfies We try to generalize and extend some general decay results. We also compare the obtained results with those obtained by Guesmia [30] , Messaoudi and Al-Gharabli [80], Al-Mahdi and Al-Gharabli [143], Belhannache et al. [144], Mukiawa [152], Al-Gharabli et al. [146], Al-Gharabli et al. [147] and others under some other different conditions on the relaxation functions. These results, when obtained, will generalize and extend many results in the literature.