Browsing by Author "LABIDI, Sara"
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Item Existence, uniqueness and stability of solutions for some parabolic-hyperbolic systèms with a neutral delay(Université Badji Mokhtar Annaba, 2025) LABIDI, SaraIn this thesis, we are interested in the study of some systems of partial derivative equations. Using the theory of semigroups and the Faedo-Galerkin method, we establish the existence and uniqueness results of the solutions of some thermos-elastic systems of porous types via Lord Shulman's law with a neutral delay. Afterwards, an exponential, polynomial and general stability results of the solution were proven based on the multipliers technique which consists to construct a Lyapunov functional equivalent to the energy of the systems studied.