The operational calculus model for the nth-order backward difference

Journal Title: Scientific Journal of Polish Naval Academy - Year 2015, Vol 202, Issue 3

Abstract

In this paper, there has been constructed such a model of the non-classical Bittner operational calculus, in which the derivative is understood as the backward difference ∇[sub]n[/sub]{x(k)} := {x(k) – x(k – n)}. Next, the presented model has been generalized by considering the operation ∇[sub]n,b[/sub]{x(k)} := {x(k) – b x(k – n)}, where b ∈ C {0}.

Authors and Affiliations

Hubert Wysocki

Keywords

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  • EP ID EP78668
  • DOI 10.5604/0860889X.1178573
  • Views 143
  • Downloads 0

How To Cite

Hubert Wysocki (2015). The operational calculus model for the nth-order backward difference. Scientific Journal of Polish Naval Academy, 202(3), 75-88. https://europub.co.uk./articles/-A-78668