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On the extremals of some functionals in space

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Abstract

We study the extremals of a functional I(l) with the boundary conditions x(0) = y(0) = z(0) = 0, x(1) = a, y(1) = b, and z(1) = c.

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References

  1. Smirnov, V.I., Kurs vysshei matematiki (A Course of Higher Mathematics), Moscow: Gosudarstv. Izdat. Tehn.-Teor. Lit., 1951, vol. 4.

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  2. Klokov, Yu.A., On the Extremals of a Functional in Space, Differ. Uravn., 2008, vol. 44, no. 6, pp. 748–754.

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  4. Klokov, Yu.A., On the Extremals of a Functional on the Plane. II, Differ. Uravn., 2007, vol. 43, no. 4, pp. 443–448.

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Authors and Affiliations

  1. Institute of Mathematics and Computer Science, University of Latvia, Riga, Latvia

    Yu. A. Klokov

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  1. Yu. A. Klokov
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Original Russian Text © Yu.A. Klokov, 2012, published in Differentsial’nye Uravneniya, 2012, Vol. 48, No. 2, pp. 290–293.

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Klokov, Y.A. On the extremals of some functionals in space. Diff Equat 48, 301–305 (2012). https://doi.org/10.1134/S0012266112020140

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  • DOI: https://doi.org/10.1134/S0012266112020140

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