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Admissible Extremals in the Problems of Variational Calculus with Constraints in the Form of a System of Linear Inhomogeneous Differential Equations of the First Order with Rectangular Matrices

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We establish necessary and sufficient conditions for the existence of smooth admissible extremals in the problems of variational calculus with constraints in the form of a system of linear inhomogeneous differential equations of the first order with rectangular matrices and different types of boundary conditions.

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Authors and Affiliations

  1. Kiev National University of Building and Architecture, Vozdukhoflotskii Ave., 31, Kiev, 03037, Ukraine

    M. A. Elishevich

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  1. M. A. Elishevich
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Translated from Neliniini Kolyvannya, Vol. 22, No. 4, pp. 458–473, October–December, 2019.

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Elishevich, M.A. Admissible Extremals in the Problems of Variational Calculus with Constraints in the Form of a System of Linear Inhomogeneous Differential Equations of the First Order with Rectangular Matrices. J Math Sci 254, 201–218 (2021). https://doi.org/10.1007/s10958-021-05298-2

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  • DOI: https://doi.org/10.1007/s10958-021-05298-2

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