Interval oscillation of second-order functional differential equations with oscillatory potentials

2009 ◽  
Vol 71 (12) ◽  
pp. e2849-e2854 ◽  
Author(s):  
A. Feza Guvenilir
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Oscillatory Potentials ◽  
Second Order ◽  
Interval Oscillation ◽  
Functional Differential

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

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Mervan Pašić
Keyword(s):  
Differential Equations ◽  
Differential Operators ◽  
Functional Differential Equations ◽  
Second Order ◽  
Laplacian Operator ◽  
Oscillation Criteria ◽  
Mixed Nonlinearities ◽  
Interval Oscillation ◽  
Functional Differential ◽  
The One

We establish some new interval oscillation criteria for a general class of second-order forced quasilinear functional differential equations withϕ-Laplacian operator and mixed nonlinearities. It especially includes the linear, the one-dimensionalp-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.

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