Browsing by Author "KHEMIS , Rabah"

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    The existence and uniqueness of solutions for a second-order iterative differential equation with two point boundary conditions
    (Faculty of Sciences, 2024) DRAOUI , Abir; KHEMIS , Rabah
    The main objective of this work is to study the existence and uniqueness of solutions of an iterative second-order di§erential equation with boundary conditions using Schauderís Öxed point theorem. We converte the given equation into an integral one in order to create an operator that satisÖes the conditions of Schauderís theorem. After that, we deÖne a convex, closed and bounded set of the Banach space of continuous functions over compact in order to prove that the operator associated to the integral equation has a Öxed point, which is a solution of the initial equation