Noether's symmetry theorem for nabla problems of the calculus of variations

Details Noether's symmetry theorem for nabla problems of the calculus of variations Noether's symmetry theorem for nabla problems of the calculus of variations

2010-07-29

arxiv.org/abs/1007.5178v1

Appl. Math. Lett. 23 (2010), no. 12, 1432-1438

Mathematics

Optimization and Control

Submitted 20/Oct/2009; Revised 27/Jan/2010; Accepted 28/July/2010; for publication in Applied Mathematics Letters

Scientific paper

10.1016/j.aml.2010.07.013

We prove a Noether-type symmetry theorem and a DuBois-Reymond necessary
optimality condition for nabla problems of the calculus of variations on time
scales.

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