Existence, uniqueness and stability of solutions for some parabolic-hyperbolic systèms with a neutral delay

dc.contributor.authorLABIDI, Sara
dc.date.accessioned2025-09-29T08:16:24Z
dc.date.available2025-09-29T08:16:24Z
dc.date.issued2025
dc.description.abstractIn 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.
dc.formatPDF
dc.identifier.urihttps://dspace.univ-annaba.dz//handle/123456789/4129
dc.language.isoen
dc.publisherUniversité Badji Mokhtar Annaba
dc.subjectpolynomial stability; Faedo-Galerkin method; porous-elastic system
dc.titleExistence, uniqueness and stability of solutions for some parabolic-hyperbolic systèms with a neutral delay
dc.title.alternativeExistence, unicité et stabilité des solutions de certains systèmes paraboliques-hyperbolique avec un retard neutre
dc.typeThesis
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