PERIODICA MATHEMATICA HUNGARICA, cilt.70, sa.2, ss.233-247, 2015 (SCI-Expanded)
Let be an odd prime. In this paper we study the integer solutions(x, y, n, a, b) of the equation x(2) + 2(a) p(b) = y(n), x >= 1, y > 1, gcd(x, y) = 1, a >= 0, b >= 0, n >= 3.