The Euler-Jacobi equation in variational calculus |
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Authors: | A V Dmitruk |
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Institution: | (1) M. V. Lomonosov Moscow State University, USSR |
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Abstract: | The use of the method of the Euler-Jacobi equation is considered in the study of a quadratic functional defined on a cone. Such functionals occur in the variation of optimal-control problems. Several concepts are introduced with the aid of which the Euler-Jacobi equation is extended and the application of this method is justified also in the case that the equation is not a linear differential equation.Translated from Matematicheskie Zametki, Vol. 20, No. 6, pp. 847–858, December, 1976. |
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