The existence and uniqueness of solutions for a second-order iterative differential equation with two point boundary conditions
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Date
2024
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Publisher
Faculty of Sciences
Abstract
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