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Stability in the first approximation of some Volterra difference equations. (English) Zbl 0907.39012

The authors study the stability properties of the Volterra difference equation \[ x_{i+1}= f_i+ \sum^i_{j=0} a_{i-j} F(x_j), \quad i=0,1, \dots. \] For related results see the monograph of S. Elaydi [An introduction to difference equations (1996; Zbl 0840.39002)].

MSC:

39A11 Stability of difference equations (MSC2000)

Citations:

Zbl 0840.39002
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