Ravi P. Agarwal, Said R. Grace, Donal O'Regan

Linearization and Higher Order Nonlinear Oscillation Theorems Using Comparison Methods

We establish some new oscillation criteria for higher order nonlinear differential equations. The main idea involves comparing our equation with the related linear second order differential equations so that the known oscillation theorems from the literature can be employed directly.

Linearization, oscillation, nonoscillation, nonlinear, comparison.

MSC 2000: 34C10, 34C15.