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Necessary conditions for an extremum in the calculus of variations with nonsmooth phase variables

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Abstract

Necessary conditions for an extremum in a general isoperimetric problem not involving partial derivatives with respect to phase variables are obtained.

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References

  1. V. Jankoviĉ, “Necessary conditions in a problem of calculus of variations,”Publ. Inst. Math. (Beograd),45, (59), 143–151 (1989).

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  2. V. M. Alekseev, V. M. Tikhomirov, and S. V. Fomin,Optimal Control [in Russian], Nauka, Moscow (1979).

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Translated fromMatematicheskie Zametki, Vol. 61, No. 6, pp. 922–930, June, 1997.

Translated by N. K. Kulman

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Jankoviĉ, V. Necessary conditions for an extremum in the calculus of variations with nonsmooth phase variables. Math Notes 61, 770–776 (1997). https://doi.org/10.1007/BF02361219

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  • DOI: https://doi.org/10.1007/BF02361219

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