New oscillation criteria for second-order forced quasilinear functional differential equations (Q2319048)

Summary: We establish some new interval oscillation criteria for a general class of second-order forced quasilinear functional differential equations with \(\phi\)-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.