Solvable subclasses of a class of nonlinear second-order difference equations

Advances in Nonlinear Analysis

article

Stevo Stević¹ 

[1] Mathematical Institute of the Serbian Academy of Sciences;Operator Theory and Applications Research Group, Department of Mathematics, King Abdulaziz University

关键词: Second-order difference equation;    nonlinear solvable difference equation;    closed form solution;   

DOI  :  10.1515/anona-2015-0077

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

We present some solvable subclasses of the class of nonlinear second-order difference equations of the form A x n +1 + B x n +1 x n + C x n x n -1 + G x n +1 x n -1 + D x n + E x n -1 + F = 0, n ∈ ℕ 0 , where the parameters A , B , C , D , E , F , G and the initial values x -1 , x 0 are real numbers. This difference equation is a natural extension of the nonhomogeneous linear second-order difference equation with constant coefficients as well as of the bilinear difference equation with constant coefficients.

【 授权许可】

CC BY