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Noether's theorem on time scales

Authors: Bartosiewicz, Z.; Torres, D.F.M.;

Noether's theorem on time scales

Abstract

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

Country
Portugal
Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
91
Top 10%
Top 1%
Top 10%
Green
hybrid