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First integrals in the discrete variational calculus. (English) Zbl 0268.49022


MSC:

49K99 Optimality conditions
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References:

[1] Cadzow, J. A.,Discrete Calculus of Variations, Internat. J. Control11 (3), 393–407 (1970). · Zbl 0193.07601 · doi:10.1080/00207177008905922
[2] Logan, J. D.,Noether’s Theorems and the Calculus of Variations (Ph.D. Thesis, The Ohio State University, Columbus, Ohio, 1970).
[3] Miller, K. S.,Linear Difference Equations (W. A. Benjamin Inc., New York, Amsterdam, 1968).
[4] Noether, E.,Invariante Variationsprobleme, Nachr. Akad. Wiss. Göttingen, Math.-phys. Kl., 235–257 (1918).
[5] Rund, H.,The Hamilton-Jacobi Theory in the Calculus of Variations (D. Van Nostrand Co., London, New York, 1966). · Zbl 0141.10602
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