**R. P. Agarwal, R. Grace**

## On the Oscillation of Certain Second Order Differential Equations

**abstract:**

Some new criteria for the oscillation of all solutions of second order
equations of the form
$$ \l(a(t)|y'(t)|^{\sigma-1}y'(t)\r)'+q(t)|y(t)|^\sigma~\sgn y(t)=0,
\quad \sigma>1, $$
are established. The obtained results extend, unify and corollate many
of the known oscillation criteria for second order equations.