scholarly journals Asymptotic behavior of random coefficient INAR model under random environment defined by difference equation

2014 ◽  
Vol 2014 (1) ◽  
Author(s):  
Mingtian Tang ◽  
Yunyan Wang
Keyword(s):  
Asymptotic Behavior ◽  
Difference Equation ◽  
Random Environment ◽  
Random Coefficient ◽  
Inar Model

scholarly journals Convergence and Divergence of the Solutions of a Neutral Difference Equation

2011 ◽  
Vol 2011 ◽  
pp. 1-18 ◽  
Author(s):  
G. E. Chatzarakis ◽  
G. N. Miliaras
Keyword(s):  
Asymptotic Behavior ◽  
Difference Equation ◽  
Difference Operator ◽  
Neutral Type ◽  
Retarded Argument ◽  
Real Numbers ◽  
Positive Real ◽  
Neutral Difference Equation ◽  
Forward Difference ◽  
Deviated Argument

We investigate the asymptotic behavior of the solutions of a neutral type difference equation of the form , where is a general retarded argument, is a general deviated argument (retarded or advanced), , is a sequence of positive real numbers such that , , and denotes the forward difference operator . Also, we examine the asymptotic behavior of the solutions in case they are continuous and differentiable with respect to .

Global asymptotic behavior of a two-dimensional difference equation modelling competition

2003 ◽  
Vol 52 (7) ◽  
pp. 1765-1776 ◽  
Author(s):  
Dean Clark ◽  
M.R.S. Kulenović ◽  
James F. Selgrade
Keyword(s):  
Asymptotic Behavior ◽  
Difference Equation ◽  
Two Dimensional ◽  
Equation Modelling
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