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Browsing by Author "Atmania, Islah"

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    Existence and Asymptotic Behavior of Solutions for some Hyperbolic Systems
    (Université Echahid Cheikh Larbi-Tebessi -Tébessa, 2024) Atmania, Islah
    In this research, we examined the existence and asymptotic behavior of solutions for a BresseTimoshenko system, considering distributed delay and second sound effects. In a section of this study,we demonstrated the global well-posedness of the initial and boundary value problem, given appropriate assumptions, utilizing Faedo-Galarkin approximations and several energy estimates. In the final section, exponential stability was demonstrated through the utilization of Lyapunov functional and the multiplier technic.