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Browsing by Author "Mesmouli, Mouataz Billah"

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    Article
    Asymptotic Behavior of Levin-Nohel Nonlinear Difference System With Several Delays
    (Amer inst Mathematical Sciences-aims, 2024) Mesmouli, Mouataz Billah; Tunc, Cemil; Hassan, Taher S.; Zaidi, Hasan Nihal; Attiya, Adel A.
    In this manuscript, we considered a system of difference equations with delays and we established sufficient conditions to guarantee stability, asymptotic stability and exponential stability. In each type of stability, we created an appropriate space that guarantees us the existence of a fixed point that achieves the required stability.
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    Article
    Matrix Measure and Asymptotic Behaviors of Linear Advanced Systems of Differential Equations
    (Springer international Publishing Ag, 2021) Mesmouli, Mouataz Billah; Tunc, Cemil
    In this article, we study the convergence and exponential convergence of solutions for the linear system of advanced differential equations x'(t) + Sigma(N)(k=1) A(k) (t)x(t + h(k)(t)) = 0, t >= t(0) >= 0. The idea used here is to construct appropriate mappings by the fundamental matrix solution of x'(t) - A(t)x(t). Then, we apply the matrix measure and Banach fixed point theorem to obtain sufficient conditions satisfying convergence and exponential convergence of the considered system. The obtained theorems generalize and improve previous results of Dung (Acta Math Sci 35(3):610-618, 2015).