Open AccessClosed form expression of tractable semi-max-type two-dimensional system of difference equations with variable coefficients
Author(s) -
Tarek F. Ibrahim
Publication year - 2016
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2016.03.002
Subject(s) - mathematics , type (biology) , variable (mathematics) , order (exchange) , combinatorics , expression (computer science) , mathematical analysis , pure mathematics , ecology , finance , computer science , economics , biology , programming language
In this paper we shall examine the periodicity and formularization of the solutions for a system of semi-max-type difference equations of second order in the form xn+1=max{Anyn−1,xn−1},yn+1=min{Bnxn−1,yn−1}, n∈N0, where N0=N∪{0},(An)n∈N0 and (Bn)n∈N0 are two-periodic positive sequences, and initial values x0, x−1, y0, y−1∈(0,+∞)