scholarly journals Oscillation Criteria for a Class of Certain Half-linear Emden-Fowler Functional Differential Equations of Neutral Type

2017 ◽  
Author(s):  
Ying Tang ◽  
Lian-Zhong Li
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Neutral Type ◽  
Oscillation Criteria ◽  
Functional Differential

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.

On oscillatory fourth order nonlinear neutral differential equations – III

2018 ◽  
Vol 68 (6) ◽  
pp. 1385-1396 ◽  
Author(s):  
Arun Kumar Tripathy ◽  
Rashmi Rekha Mohanta
Keyword(s):  
Differential Equations ◽  
Fourth Order ◽  
Functional Differential Equations ◽  
Neutral Type ◽  
Sufficient Conditions ◽  
Neutral Differential Equations ◽  
All Solutions ◽  
Functional Differential ◽  
T Tau

Abstract In this paper, several sufficient conditions for oscillation of all solutions of fourth order functional differential equations of neutral type of the form $$\begin{array}{} \displaystyle \bigl(r(t)(y(t)+p(t)y(t-\tau))''\bigr)''+q(t)G\bigl(y(t-\sigma)\bigr)=0 \end{array}$$ are studied under the assumption $$\begin{array}{} \displaystyle \int\limits^{\infty}_{0}\frac{t}{r(t)}{\rm d} t =\infty \end{array}$$

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