scholarly journals Optimal oscillation criteria for first order difference equations with delay argument

2008 ◽  
Vol 235 (1) ◽  
pp. 15-33 ◽  
Author(s):  
George Chatzarakis ◽  
Roman Koplatadze ◽  
Ioannis Stavroulakis
Keyword(s):  
Difference Equations ◽  
Order Difference ◽  
Oscillation Criteria ◽  
Delay Argument ◽  
First Order ◽  
Equations With Delay

scholarly journals Oscillation results for nonlinear second order difference equations with mixed neutral terms

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Said R. Grace ◽  
Jehad Alzabut
Keyword(s):  
Difference Equations ◽  
Wide Class ◽  
Second Order ◽  
Order Difference ◽  
Oscillation Criteria ◽  
First Order ◽  
Oscillatory Behaviors

AbstractIn this paper, we establish new oscillation criteria for nonlinear second order difference equations with mixed neutral terms. The key idea of our approach is to compare with first order equations whose oscillatory behaviors are already known. The obtained results not only improve and extend existing results reported in the literature but also provide a new platform for the investigation of a wide class of nonlinear second order difference equations. The results are supported by examples to demonstrate the validity of the theoretical findings.

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