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

2009/10/01 by Caputo, M. Cristina
#26E70 #39A10 #49K05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.0910.0085

Abstract

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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