Two-dimensional product-type systems of difference equations of delay-type (2,2,1,2)

Date

2017-06-27

Authors

Stevic, Stevo

Journal Title

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Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

We prove that the following class of systems of difference equations is solvable in closed form: zn+1 = αzαn-1 wbn, wn+1 = βwcn-1 zdn-1, n ∈ ℕ0, where α, b, c, d ∈ ℤ, α, β, z-1, z0, w-1, w0 ∈ ℂ \ {0}. We present formulas for its solutions in all the cases. The most complex formulas are presented in terms of the zeros of three different associated polynomials to the systems corresponding to the cases α = 0, c = 0 and αbdc ≠ 0, respectively, which on the other hand depend on some of parameters α, b, c, d.

Description

Keywords

System of difference equations, Product-type system, Solvable in closed form

Citation

Stevic, S. (2017). Two-dimensional product-type systems of difference equations of delay-type (2,2,1,2). <i>Electronic Journal of Differential Equations, 2017</i>(153), pp. 1-21.

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Attribution 4.0 International

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