scholarly journals Asymptotic Stability Condition for a Class of Linear Delay Difference Equations of Higher Order

2000 ◽  
Vol 248 (1) ◽  
pp. 83-96 ◽  
Author(s):  
Ryuzou Ogita ◽  
Hideaki Matsunaga ◽  
Tadayuki Hara
Keyword(s):  
Asymptotic Stability ◽  
Difference Equations ◽  
Stability Condition ◽  
Higher Order ◽  
Linear Delay ◽  
Delay Difference Equations ◽  
Delay Difference ◽  
Asymptotic Stability Condition

scholarly journals Stability conditions for linear delay difference equations: a survey and perspectives

2015 ◽  
Vol 63 (1) ◽  
pp. 1-29 ◽  
Author(s):  
Jan Čermák
Keyword(s):  
Asymptotic Stability ◽  
Difference Equations ◽  
Sufficient Conditions ◽  
Zero Solution ◽  
Stability Conditions ◽  
Linear Delay ◽  
Necessary And Sufficient ◽  
Delay Difference Equations ◽  
Delay Difference ◽  
Theoretical Results

Abstract The paper presents an overview of the basic results and methods for stability investigations of higher-order linear autonomous difference equations. The presented criteria formulate several types of necessary and sufficient conditions for the asymptotic stability of the zero solution of studied equations, with a special emphasize put on delay difference equations. Various comments, comparisons, examples and illustrations are given to support theoretical results.

Oscillation criteria for higher-order nonlinear delay dynamic equations on time scales

2016 ◽  
Vol 66 (3) ◽  
Author(s):  
Yaşar Bolat ◽  
Ömer Akin
Keyword(s):  
Difference Equations ◽  
Difference Operator ◽  
Higher Order ◽  
Dynamic Equations ◽  
Oscillation Criteria ◽  
Linear Delay ◽  
Delay Dynamic Equations ◽  
Delay Difference Equations ◽  
Delay Difference ◽  
Nonlinear Delay

AbstractIn this paper, oscillation criteria are obtained for higher-order half-linear delay difference equations involving generalized difference operator of the formwhere ∆

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