On eight solvable systems of difference equations in terms of generalized padovan sequences

WOS:000741090800016In this study we show that the systems of difference equations x(n+1) = f(-1)(af(p(n-1)) - bf (q(n-2))), y(n+1) =f(-1)(af(r(n-1)) + bf(s(n-2))), for n is an element of N-0, where the sequences p(n), q(n) , r(n) and s(n) are some of the sequences x(n) and y(n), f : D-f -> R is a "1 - 1" continuous function on its domain D-f subset of R, initial values x(-j), y(-j), j is an element of {0,1, 2}, are arbitrary real numbers in D-f and the parameters a,b are arbitrary complex numbers, with b not equal 0, can be explicitly solved in terms of generalized Padovan sequences. Some analytical examples are given to demonstrate the theoretical results