Author/Authors :
Kara, Merve Department of Mathematics - Kamil Ozdag Science Faculty - Karamanoglu Mehmetbey University - Karaman, Turkey , Yazlik, Yasin Department of Mathematics - Faculty of Science - Nevsehir Hacı Bektas Veli University - Nevsehir, Turkey
Abstract :
We indicate that the systems of difference equations
xn+1 = f−1(
af (pn−1) + bf (qn−2)
)
, yn+1 = f−1(
af (rn−1) + bf (sn−2)
)
, n ∈ N0,
where the sequences pn, qn, rn, sn are some of the sequences xn and yn, f : Df −→ R is a “1 − 1”
continuous function on its domain Df ⊆ R, initial values x−j , y−j , j ∈ {0, 1, 2} are arbitrary real
numbers in Df and the parameters a, b are arbitrary complex numbers, with b ̸= 0, can be solved in
the explicit form in terms of generalized Padovan sequences.
