
handle: 10773/4093
We show that for any variational symmetry of the problem of the calculus of variations on time scales there exists a conserved quantity along the respective Euler-Lagrange extremals.
Partially presented at the 6th International ISAAC Congress, August 13 to August 18, 2007, Middle East Technical University, Ankara, Turkey
39A12, Applied Mathematics, 49K05, FOS: Physical sciences, Mathematical Physics (math-ph), 49K05; 39A12, Time scales, Noether's theorem, Mathematics - Classical Analysis and ODEs, Optimization and Control (math.OC), Classical Analysis and ODEs (math.CA), FOS: Mathematics, Mathematics - Optimization and Control, Analysis, Mathematical Physics, Calculus of variations, Conservation laws
39A12, Applied Mathematics, 49K05, FOS: Physical sciences, Mathematical Physics (math-ph), 49K05; 39A12, Time scales, Noether's theorem, Mathematics - Classical Analysis and ODEs, Optimization and Control (math.OC), Classical Analysis and ODEs (math.CA), FOS: Mathematics, Mathematics - Optimization and Control, Analysis, Mathematical Physics, Calculus of variations, Conservation laws
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