THE EXISTENCE OF PERIODIC SOLUTIONS OF A SECOND ORDER ITERATIVE DIFFERENTIAL EQUATION
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Date
2023
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Acta Math. Univ. Comenianae Vol. XCII, 1 , pp. 9{22
Abstract
In this work, we consider a class of second order iterative di erential
equations. Using Schauder's xed point theorem and the Green's functions method,
the existence of periodic solutions is proved after establishing the equivalence of
our problem with a certain integral equation. Finally, we end this article with a
simple conclusion recapitulating the guiding idea of our approach. Obtained ndings
complement some previous publications in the literature.