The authors study oscillatory behavior of solutions of the nonlinear second order differential equation (*) , where is an eventually positive function, the nonlinearity satisfies , for all , and the power is a positive ratio of the type (odd/odd) or (even/odd). A typical result is the following statement:
Theorem: Let be the quotient of two odd integers and suppose that the following assumptions are satisfied: , , there exist such that and
If is a nonoscillatory solution of (*) such that and there exists so that , then
for sufficiently large.