2019
Том 71
№ 9

All Issues

High-order asymptotics of a solution of one problem of optimal control over a distributed system with rapidly oscillating coefficients

Kogut P. I.

Full text (.pdf)


Abstract

High-order asymptotics is constructed and justified for optimal control over parabolic systems with rapidly oscillating coefficients in the principal part that describes high-intensity heat transfer processes in inhomogeneous and periodic media. The investigation is based on the use of methods of multiscale asymptotic decomposition and some results of the theory of averaging.

English version (Springer): Ukrainian Mathematical Journal 48 (1996), no. 7, pp 1063-1073.

Citation Example: Kogut P. I. High-order asymptotics of a solution of one problem of optimal control over a distributed system with rapidly oscillating coefficients // Ukr. Mat. Zh. - 1996. - 48, № 7. - pp. 940-948.

Full text