Stevic, StevoTollu, Durhasan Turgut2024-02-232024-02-2320232473-6988https://doi.org/10.3934/math.20231048https://hdl.handle.net/20.500.12452/16143We consider the two-dimensional nonlinear system of difference equations xn = xn-k ayn-l + byn-(k+l) cyn-l + dyn-(k+l) , yn = yn-k & alpha;xn-l + & beta;xn-(k+l) , & gamma;xn-l + & delta;xn-(k+l) for n E N0, where the delays k and l are two natural numbers, and the initial values x- j, y- j, 1 < j < k+l, and the parameters a, b, c, d, & alpha;, & beta;, & gamma;, & delta; are real numbers. We show that the system of difference equations is solvable by presenting a method for finding its general solution in detail. Bearing in mind that the system of equations is a natural generalization of the corresponding one-dimensional difference equation, whose special cases appear in the literature from time to time, our main result presented here also generalizes many results therein.eninfo:eu-repo/semantics/openAccessNonlinear System Of Difference EquationsSolvable SystemClosed-Form FormulaArticle8920561205752-s2.0-85163038204WOS:00102417770000810.3934/math.20231048