New Oscillation Criteria for Second-Order Forced Quasilinear Functional Differential Equations

Abstract EN

We establish some new interval oscillation criteria for a general class of second-order forced quasilinear functional differential equations with ϕ-Laplacian operator and mixed nonlinearities.

It especially includes the linear, the one-dimensional p-Laplacian, and the prescribed mean curvature quasilinear differential operators.

It continues some recently published results on the oscillations of the second-order functional differential equations including functional arguments of delay, advanced, or delay-advanced types.

The nonlinear terms are of superlinear or supersublinear (mixed) types.

Consequences and examples are shown to illustrate the novelty and simplicity of our oscillation criteria.