On the oscillatory behavior of solutions of second order nonlinear differential equations

Let alpha > 0 be a constant. We establish the oscillatory behavior of the second order nonlinear differential equation (*) (a(t)psi(x)\x'\alpha-1x')' + q(t)f(x) = r(t), t greater than or equal to t(0) > 0, where a, q, r is an element of C([t(0), infinity), R) and f, psi is an element of C(R, R), a(t) > 0, alpha > 0 is a constant, q(t) not equivalent to 0 and psi(x) > 0 for x not equal 0.