Browsing by Author "Supervisor: Mourad, Yettou"

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    Algebraic Linear Differential Equations on Boolean Lattices
    (Mohamed Boudiaf University of M'sila, 2025-06-10) Guidah, Amouria; Supervisor: Mourad, Yettou; Co-Supervisor: Abdelaziz, Amroune
    In this memory, we have focused on studying the concept of algebraic linear differential equations on Boolean lattices. To that end, we have organized our thesis into three chapters. We have devoted the first chapter for recalling basic concepts and properties of lattices. Moreover, we have presented some classes of lattices, distributive, modular and Boolean lattices. In chapter 2, we have focused our study on the concepts of derivations and integrations on lattices, and their properties. The third chapter is the main goal of this thesis, where we provided the newly notion of algebraic linear differential equations on Boolean lattices. Further, we have established the necessary and sufficient conditions to sole those differential equations. In addition, we have used Python Programs for solving those linear differential equations.