Time scales: from Nabla calculus to Delta calculus and vice versa via duality

In this note we show how one can obtain results from the nabla calculus from results on the delta calculus and vice versa via a duality argument. We provide applications of the main results to the calculus of variations on time scales.

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1. Verfasser:	Caputo, M. Cristina
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Sprache:	eng
Schlagworte:	Mathematics - Classical Analysis and ODEs Mathematics - Optimization and Control
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creator	Caputo, M. Cristina
description	In this note we show how one can obtain results from the nabla calculus from results on the delta calculus and vice versa via a duality argument. We provide applications of the main results to the calculus of variations on time scales.
doi_str_mv	10.48550/arxiv.0910.0085
format	Article
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title	Time scales: from Nabla calculus to Delta calculus and vice versa via duality
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