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New oscillation criteria of second-order nonlinear differential equations. (English) Zbl 1172.34322

Summary: 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.

34C10Qualitative theory of oscillations of ODE: zeros, disconjugacy and comparison theory
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