Oscillation of the solutions of a certain class of first-order functional-differential equations of neutral type

1989 ◽  
Vol 41 (10) ◽  
pp. 1179-1183 ◽  
Author(s):  
A. F. Ivanov ◽  
T. Kusano
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Neutral Type ◽  
First Order ◽  
Functional Differential

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 $$\begin{array}{} \displaystyle \int\limits^{\infty}_{0}\frac{t}{r(t)}{\rm d} t =\infty \end{array}$$

Sign in / Sign up

Export Citation Format

Share Document