Abstract and Applied Analysis

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

Mervan Pašić

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 735360, 12 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393512026

Digital Object Identifier
doi:10.1155/2013/735360

Mathematical Reviews number (MathSciNet)
MR3096826

Zentralblatt MATH identifier
1286.34054

Citation

Pašić, Mervan. New Oscillation Criteria for Second-Order Forced Quasilinear Functional Differential Equations. Abstr. Appl. Anal. 2013 (2013), Article ID 735360, 12 pages. doi:10.1155/2013/735360. https://projecteuclid.org/euclid.aaa/1393512026


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