Stevo Stević

TL;DR: In this paper, a solvable two-dimensional product-type system of difference equations of interest is presented, and closed form formulas for its general solution are given, where the closed form formula for the general solution is based on a closed-form version of the problem.

TL;DR: The boundedness character of positive solutions of the next max-type system of difference equations was studied in this article, where it was shown that the boundedness of the positive solutions is bounded by

TL;DR: In this article, the authors define a family of Cesaro operators on the polydisc Un, and consider the question of its boundedness on some spaces of analytic functions, and show that the boundedness of these operators is bounded.

Abstract: The solvability problem for the following system of difference equations zn+1 = αza nw b n, wn+1 = βw c n−1z d n−2, n ∈N0, where a, b, c, d ∈ Z, α, β ∈ C \\ {0}, z−2, z−1, z0, w−1, w0 ∈ C \\ {0}, is solved. In the main case when bd 6= 0, a polynomial of the fourth order is associated to the system, and its solutions are represented in terms of the parameters, through the roots of the polynomial in all possible cases (the roots are given in terms of parameters a, b, c, d). This is also the first paper which successfully deals with the associated polynomial (to a product-type system) of the fourth order in detail, which is the main achievement of the paper.

TL;DR: In this article, the second member in the asymptotic development of some of the positive solutions of a class of difference equations of second and third orders was found, and applied to some classes of mathematical biology models, such as generalized Beverton-Holt stock recruitment model, flour beetle population model, and discrete delay logistic difference equation.