A Generalization of Difference Models of the Bittner Operational Calculus

Abstract

In the paper, there has been constructed a discrete model of the non-classical Bittner operational calculus with a derivative understood as the operation Sb{x(k)} := {x(k+n)b(k)x(k)}, which is a generalization of the nth-order forward difference. It has also been pointed out that there is a possibility to generalize operational calculus models with backward and central differences of higher orders.

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