Asymptotic behavior of impulsive infinite delay difference equations with continuous variables.

*(English)*Zbl 1177.39007Summary: 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 |

##### Keywords:

asymptotic behavior; impulsive infinite delay difference equations; continuous variables; attracting and invariant sets##### References:

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