In this review paper, the aim is to present a functional-analytic method developed relevantly recently by the authors for the study of partial difference equations in the spaces l1 and l2. The method is demonstrated using two illustrative examples. At the same time an effort is made in order top resent several other methods used by other researchers, which make use of functional analysis and operator theory.
Mathematics Subject Classification. 39-02, 39A05, 39All, 47N99
Keywords: partial difference equations, functional analysis, boundedness, asymptotic stability, region of attraction, oscillation
