On a class of difference equations involving a linear map with two dimensional kernel

We establish necessary and sufficient conditions for the existence of periodic solutions to second-order nonlinear difference equations of the form $\Delta^2x_i+\lambda x_i+\Delta f(x_i)=e_i$, $i\in{\mathbb N}$, and for a simpler equation with difference-free nonlinearity. The linear part of the eq...

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Bibliographic Details
Main Authors: Luís Ferreira, Luis Sanchez Rodrigues
Format: Article
Language:English
Published: University of Szeged 2020-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=7855