scholarly journals Oscillation criteria for a class of higher odd order neutral difference equations with continuous variable

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Shuhui Wu ◽  
Pargat Singh Calay ◽  
Zhanyuan Hou
Keyword(s):  
Difference Equations ◽  
Continuous Variable ◽  
Neutral Difference Equations ◽  
Oscillation Criteria ◽  
Odd Order

MODIFIED OSCILLATION CRITERIA OF SECOND-ORDER NEUTRAL DIFFERENCE EQUATIONS

2021 ◽  
Vol 28 (1-2) ◽  
pp. 19-30
Author(s):  
G. CHATZARAKIS G. CHATZARAKIS ◽  
R. KANAGASABAPATHI R. KANAGASABAPATHI ◽  
S. SELVARANGAM S. SELVARANGAM ◽  
E. THANDAPANI E. THANDAPANI
Keyword(s):  
Difference Equations ◽  
Second Order ◽  
Riccati Transformation ◽  
Nonlinear Difference Equations ◽  
Transformation Technique ◽  
Neutral Difference Equations ◽  
Oscillation Criteria ◽  
Neutral Term

In this paper we shall consider a class of second-order nonlinear difference equations with a negative neutral term. Some new oscillation criteria are obtained via Riccati transformation technique. These criteria improve and modify the existing results mentioned in the literature. Some examples are given to show the applicability and significance of the main results.

scholarly journals New Oscillation Criteria for Third-Order Nonlinear Mixed Neutral Difference Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Elmetwally Mohammed Elabbasy ◽  
Magdy Yoseph Barsom ◽  
Faisal Saleh AL-dheleai
Keyword(s):  
Difference Equation ◽  
Difference Equations ◽  
Third Order ◽  
Neutral Difference Equation ◽  
Neutral Difference Equations ◽  
Oscillation Criteria

Some new oscillation criteria are established for a third-order nonlinear mixed neutral difference equation. Our results improve and extend some known results in the literature. Several examples are given to illustrate the importance of the results.

scholarly journals Asymptotic Behavior of Higher Order Quasilinear Neutral Difference Equations

2016 ◽  
Vol 8 (6) ◽  
pp. 148
Author(s):  
V. Sadhasivam ◽  
Pon. Sundar ◽  
A. Santhi
Keyword(s):  
Asymptotic Behavior ◽  
Difference Equations ◽  
Higher Order ◽  
Asymptotic Behavior Of Solutions ◽  
Functional Difference ◽  
Order Difference ◽  
Neutral Difference Equations ◽  
Odd Order ◽  
Functional Difference Equations

We study, the asymptotic behavior of solutions to a class of higher order quasilinear neutral difference equations under the assumptions that allow applications to even and odd-order difference equations with delayed and advanced arguments, as well as to functional difference equations with more complex arguments that may for instance, alternate infinitely between delayed and advanced types. New theorems extend a number of results reported in the literature. Illustrative examples are presented.

scholarly journals Oscillatory Behavior of Solutions of Fourth-order Mixed Neutral Difference Equations with Asynchronous Non Linearities

2019 ◽  
Vol 8 (10S) ◽  
pp. 63-66
Keyword(s):  
Difference Equation ◽  
Fourth Order ◽  
Difference Equations ◽  
Mixed Type ◽  
Oscillatory Behavior ◽  
Neutral Difference Equation ◽  
Neutral Difference Equations ◽  
Oscillation Criteria

In this article, oscillation criteria for solutions of fourth order mixed type neutral difference equation with asynchronous non linearities of the form where{an}, {bn}, {cn}, {qn} and {pn} are established. Examples are provided to illustrate the results

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