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

We establish some new interval oscillation criteria for a general class of second-order forcedquasilinear functional differential equations with ϕ-Laplacian operator and mixed nonlinearities. Itespecially includes the linear, the one-dimensional p-Laplacian, and the prescribed mean curvaturequasilinear differential operators. It continues some recently published results on the oscillations ofthe 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