Abstract :
In this paper we consider the second-order nonlinear differential equation
s wa t. y9 t..x9qq t.f y t..s0, ).
where s )0 is any quotient of odd integers, agC1 R, 0,`.., qgC R, R.,
fgC R, R., xf x.)0, f 9 x.G0 for x/0. Some new sufficient conditions for
the oscillation of all solutions of ). are obtained. Several examples that dwell
upon the importance of our results are also included.