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Asymptotic behavior of impulsive infinite delay difference equations with continuous variables. (English) Zbl 1177.39007
Summary: A class of impulsive infinite delay difference equations with continuous variables is considered. By establishing an infinite delay difference inequality with impulsive initial conditions and using the properties of “$$\varrho$$-cone,” we obtain the attracting and invariant sets of the equations.
##### MSC:
 39A12 Discrete version of topics in analysis 34K25 Asymptotic theory of functional-differential equations
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##### References:
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