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We establish conditions for the existence of periodic solutions of nonlinear, second-order difference equations of the form y(t + 2) + by(t + 1) + cy(t) = f (y(t)), where c = 0 and f :R→ R is continuous. In our main result we assume that f exhibits sublinear growth and that there is a constant β > 0 such that u f (u) > 0 whenever |u| ≥ β. For such an(More)
Manjun Ma,1 R. Carretero-González,2,* P. G. Kevrekidis,3 D. J. Frantzeskakis,4 and B. A. Malomed5 1College of Science, China Jiliang University, Hangzhou, Zhejiang, 310018, P.R. China 2Nonlinear Physics Group, Departamento de Fı́sica Aplicada I, Universidad de Sevilla, Avda. Reina Mercedes s/n., E-41012 Sevilla, Spain 3Department of Mathematics and(More)