2017
Том 69
№ 9

All Issues

Behavior of integral curves in the neighborhood of optimal integral manifolds

Kurbanshoev S. Z.

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Abstract

We describe an explicit construction of optimal integral manifolds [1] for a quasilinear system of differential equations that uses the method of successive approximations. We study the behavior of integral curves in the neighborhood of optimal integral manifolds. We cite a numerical method of synthesis of optimal control and prove its justification.

English version (Springer): Ukrainian Mathematical Journal 44 (1992), no. 8, pp 949-959.

Citation Example: Kurbanshoev S. Z. Behavior of integral curves in the neighborhood of optimal integral manifolds // Ukr. Mat. Zh. - 1992. - 44, № 8. - pp. 1049–1060.

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