A Second Order Superlinear Oscillation Criterion

Source abstract

Abstract A new oscillation criterion is given for general superlinear ordinary differential equations of second order of the form x″ ( t )+ a ( t ) f[x ( t ) ]=0 , where a ∈ C ( [t 0 ∞ ,)), f∈C ( R ) with yf ( y )>0 for y≠0 and and f is continously differentiable on R-{0} with f' ( y ) ≥0 for all y≠O. In the special case of the differential equation (γ > 1) this criterion leads to an oscillation result due to Wong [9].