Backward variational approach on time scales with an action depending on the free endpoints

Details Backward variational approach on time scales with an action depending on the free endpoints Backward variational approach on time scales with an action depending on the free endpoints

2011-01-04

arxiv.org/abs/1101.0694v1

Z. Naturforsch. A 66a (2011), no. 6, 401--410

Mathematics

Optimization and Control

Submitted 17-Oct-2010; revised 18-Dec-2010; accepted 4-Jan-2011; for publication in Zeitschrift fuer Naturforschung A

Scientific paper

We establish necessary optimality conditions for variational problems with an
action depending on the free endpoints. New transversality conditions are also
obtained. The results are formulated and proved using the recent and general
theory of time scales via the backward nabla differential operator.

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