New oscillation criteria of second-order nonlinear differential equations

摘要

By employing a class of new functions Φ=Φ(t,s,l) and a generalized Riccati technique, some new oscillation and interval oscillation criteria are established for the second-order nonlinear differential equation(r(t)y′(t))′+Q(t,y(t),y′(t))=0.The obtained interval oscillation criteria can be applied to equations with forcing term. Two examples are also included to show the significance of our results.