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Asymptotics of the rung-type contrast structure for a class of variational problems

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Abstract

Consideration was given to a class of simplest variational problems with fixed ends where the derivative is involved in the small-parameter integrant. For the solution with internal transient layer of the “rung” type, an asymptotics was constructed and the existence conditions were established.

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References

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Authors and Affiliations

  1. East China Teacher’s Training University, Shanghai, China

    Ming Kang Ni

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  1. Ming Kang Ni
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Additional information

Original Russian Text © Ni Ming Kang, 2008, published in Avtomatika i Telemekhanika, 2008, No. 4, pp. 176–183.

This work was supported by (1) China GFEN, no. 10671070, (2) E-Institutes of Shanghai Municipal Education Commission, no. N.E03004, (3) Key Laboratory of Geographic Information Science, The Ministry of Education, ECNU, Shanghai, no. 200062.

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Ni, M.K. Asymptotics of the rung-type contrast structure for a class of variational problems. Autom Remote Control 69, 708–715 (2008). https://doi.org/10.1134/S0005117908040176

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  • DOI: https://doi.org/10.1134/S0005117908040176

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