Data di Pubblicazione:
2019
Citazione:
On the inverse problem of the discrete calculus of variations / G. Gubbiotti. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - 52:30(2019), pp. 305203.1-305203.29. [10.1088/1751-8121/ab2919]
Abstract:
In this paper we present an algorithm to find the discrete Lagrangian for an autonomous recurrence relation of arbitrary even order 2k with k > 1. The method is based on the existence of a set of differential operators called annihilation operators which can be used to convert a functional equation into a system of linear partial differential equations. This completely solves the inverse problem of the calculus of variations in this setting.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
calculus of variations; Difference equations; discrete equations; inverse problem; Lagrangian
Elenco autori:
G. Gubbiotti
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