Taskara, N.Uslu, K.Tollu, D. T.2020-03-262020-03-2620110898-1221https://dx.doi.org/10.1016/j.camwa.2011.06.024https://hdl.handle.net/20.500.12395/26975In this paper, we give necessary and sufficient conditions for generalized solution and periodicity of the difference equation x(n+1) = p(n)x(n-k)+x(n-(k+1))/q(n)+x(n-(k+1)) with (k + 2)-periodic coefficients, where k is an element of N, x(-k-1), x(-k,) ... ,x(0) is an element of R. Also, we obtain that the generalized solution is periodic with (k + 1)-period. (C) 2011 Elsevier Ltd. All rights reserved.en10.1016/j.camwa.2011.06.024info:eu-repo/semantics/openAccessRational difference equationPeriodicityGeneralized solutionArticle62418071813Q1WOS:000294797400021Q1