scholarly journals Asymptotic stability versus exponential stability in linear volterra difference equations of convolution type

1996 ◽  
Vol 2 (4) ◽  
pp. 401-410 ◽  
Author(s):  
Saber Elaydi ◽  
Satoru Murakami
Keyword(s):  
Asymptotic Stability ◽  
Exponential Stability ◽  
Difference Equations ◽  
Convolution Type ◽  
Volterra Difference Equations

New criteria for global exponential stability of linear time-varying volterra difference equations

2016 ◽  
Vol 66 (6) ◽  
Author(s):  
Trung Hieu Le
Keyword(s):  
Exponential Stability ◽  
Difference Equations ◽  
Global Exponential Stability ◽  
Linear Time ◽  
Time Varying ◽  
Novel Approach ◽  
New Criteria ◽  
Volterra Difference Equations ◽  
Explicit Criteria

AbstractLinear time-varying Volterra difference equations are considered. By a novel approach, we get some new explicit criteria for global exponential stability. Some examples are given to illustrate the obtained results. To the best of our knowledge, the obtained results are new.

scholarly journals Discrete Weighted Pseudo-Almost Automorphy and Applications

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Zhinan Xia
Keyword(s):  
Banach Space ◽  
Difference Equations ◽  
Existence And Uniqueness ◽  
Convolution Type ◽  
Almost Automorphic ◽  
Pseudo Almost Automorphic ◽  
Volterra Difference Equations

We deal with discrete weighted pseudo almost automorphy which extends some classical concepts and systematically explore its properties in Banach space including a composition result. As an application, we establish some sufficient criteria for the existence and uniqueness of the discrete weighted pseudo almost automorphic solutions to the Volterra difference equations of convolution type and also to nonautonomous semilinear difference equations. Some examples are presented to illustrate the main findings.

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