
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, time scales, Applied Mathematics, Optimality conditions for free problems in one independent variable, calculus of variations, 49K05, FOS: Physical sciences, Mathematical Physics (math-ph), 49K05; 39A12, Time scales, Noether's theorem, Dynamic equations on time scales or measure chains, Mathematics - Classical Analysis and ODEs, Optimization and Control (math.OC), Classical Analysis and ODEs (math.CA), FOS: Mathematics, conservation laws, Mathematics - Optimization and Control, Analysis, Mathematical Physics, Calculus of variations, Conservation laws
39A12, time scales, Applied Mathematics, Optimality conditions for free problems in one independent variable, calculus of variations, 49K05, FOS: Physical sciences, Mathematical Physics (math-ph), 49K05; 39A12, Time scales, Noether's theorem, Dynamic equations on time scales or measure chains, Mathematics - Classical Analysis and ODEs, Optimization and Control (math.OC), Classical Analysis and ODEs (math.CA), FOS: Mathematics, conservation laws, Mathematics - Optimization and Control, Analysis, Mathematical Physics, Calculus of variations, Conservation laws
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