Kamenev-type oscillation criteria for second-order quasilinear differential equations

Abstract

We obtain Kamenev-type oscillation criteria for the second-order quasilinear differential equation $$ (r(t)|y'(t)|^{alpha-1}y'(t))'+ p(t)|y(t)|^{eta-1}y(t)=0 ,. $$ The criteria obtained extend the integral averaging technique and include earlier results due to Kamenev, Philos and Wong.

Keywords

• Oscillation
• second order quasilinear differential equation
• integral operator.