Gelisken, AliKaratas, Ramazan2023-05-312023-05-3120220974-1658https://doi.org/10.17654/0974165822017https://hdl.handle.net/20.500.13091/4244This paper shows the asymptotic behavior of solutions of the difference equation x(n+1) = a(n)x(n-2k)/b(n) + c(n) Pi(2k)(i=0) x(n-i) where a(n), b(n) and c(n) are sequences of positive real numbers and initial conditions are nonzero real numbers.eninfo:eu-repo/semantics/openAccessdifference equationsolutionequilibrium pointasymptotic behaviorArticle10.17654/0974165822017