Periodic Solutions to Nonlinear Second-Order Difference Equations with Two-Dimensional Kernel

Daniel Maroncelli ()
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Daniel Maroncelli: Department of Mathematics, College of Charleston, Charleston, SC 29424, USA

Mathematics, 2024, vol. 12, issue 6, 1-14

Abstract: In this work, we provide conditions for the existence of periodic solutions to nonlinear, second-order difference equations of the form y ( t + 2 ) + b y ( t + 1 ) + c y ( t ) = g ( y ( t ) ) , where b and c are real parameters, c ? 0 , and g : R ? R is continuous.

Keywords: periodic difference equations; resonance; Lyapunov-Schmidt procedure; Schaefer’s fixed point theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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