engleski

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 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 super-sub linear (mixed) types. Consequences and examples are shown to illustrate the novelty and simplicity of our oscillation criteria.

functional; delay; advanced; delay-advanced; Laplacian; mean curvature operator; oscillation; Riccati differential equation; pointwise comparison principle

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