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

Mervan Pašić

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: 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.

Date: 2013
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https://doi.org/10.1155/2013/735360

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:735360

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