scholarly journals Oscillation criteria for second order Emden-Fowler functional differential equations of neutral type

2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Yingzhu Wu ◽  
Yuanhong Yu ◽  
Jimin Zhang ◽  
Jinsen Xiao
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Neutral Type ◽  
Second Order ◽  
Oscillation Criteria ◽  
Functional Differential

scholarly journals Oscillation Theorems for Second-Order Quasilinear Neutral Functional Differential Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Shurong Sun ◽  
Tongxing Li ◽  
Zhenlai Han ◽  
Hua Li
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Second Order ◽  
Neutral Functional Differential Equations ◽  
Oscillation Criteria ◽  
Functional Differential ◽  
Oscillation Theorems

New oscillation criteria are established for the second-order nonlinear neutral functional differential equations of the form(r(t)|z′(t)|α−1z′(t))’+f(t,x[σ(t)])=0,t≥t0, wherez(t)=x(t)+p(t)x(τ(t)),p∈C1([t0,∞),[0,∞)), andα≥1. Our results improve and extend some known results in the literature. Some examples are also provided to show the importance of these results.

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.

scholarly journals On some oscillation criteria for a class of neutral type functional differential equations

1986 ◽  
Vol 28 (2) ◽  
pp. 229-239 ◽  
Author(s):  
A.I. Zahariev ◽  
D. D. Bainov
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Neutral Type ◽  
Oscillation Criteria ◽  
Functional Differential ◽  
Image Position

AbstractThe present paper proves criteria for oscillation of the soultions of functional differential equations of the typewhere λ, τ > 0.

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