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LIMITS OF SOLUTIONS OF A RECURRENCE RELATION WITH BANG BANG CONTROL
Author(s) : Huan Liu, Chengmin Hou and Yansheng He
Pages : [1] - [10]
Received : September 14, 2016; Revised October 10, 2016
Communicated by : Professor Dimitrios Poulakis.
Pages : [1] - [10]
Received : September 14, 2016; Revised October 10, 2016
Communicated by : Professor Dimitrios Poulakis.
Abstract
In this paper, we consider a three term nonlinear recurrence .gif){kind=small}
where 
are real numbers and H is the Heaviside step function. We are able to derive the exact relations between the initial values 
and 
what’s more, the limiting behaviours of the solution determined by them.
Keywords
three term nonlinear recurrence, Heaviside function, limiting behaviour.