Cover Image

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

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 mu...

Full description

Saved in:

Bibliographic Details
Date:	1996
Main Authors:	Kogut, P. I., Когут, П. І.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1996
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5266
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Optimal control problem for a differential inclusion with rapidly oscillating coefficients on a semiaxis
by: O. D. Kichmarenko, et al.
Published: (2021)

Approximate Synthesis of Distributed Bounded Control for a Parabolic Problem with Rapidly Oscillating Coefficients
by: O. V. Kapustian, et al.
Published: (2015)

Approximate Synthesis of Distributed Bounded Control for a Parabolic Problem with Rapidly Oscillating Coefficients
by: Kapustyan, O. V., et al.
Published: (2015)

Asymptotic expansions for eigenvalues and eigenfunctions of elliptic boundary-value problems with rapidly oscillating coefficients
by: Teplinsky, A.Yu.
Published: (1999)

Approximate synthesis of distributed optimal control for hyperbolic equation with fast oscillating coefficients
by: O. V. Perehuda, et al.
Published: (2016)

Asymptotics for solutions of second order differential quations with a rapidly varying nonlinearity
by: E. S. Vladova
Published: (2015)

Asymptotic solution of one-dimensional spectral boundary-value problems with rapidly varying coefficients: The case of multiple spectra
by: Teplins’kyi, O. Yu., et al.
Published: (1998)

Asymptotic splitting of systems of the second order differential equations with slowly varying and oscillating coefficients
by: Kuzma, N. G., et al.
Published: (1988)

Asymptotic representations of rapidly varying solutions of the second order differential equations with rapidly and regularly varying nonlinearities
by: O. O. Chepok
Published: (2018)

Asymptotic behaviour of rapidly varying solutions of a differential equation with rapidly varying nonlinearity
by: Golubev, S., et al.
Published: (2026)

On the asymptotics of solutions of the second-order differential equations with rapidly varying nonlinearities
by: V. M. Yevtukhov, et al.
Published: (2021)

On the asymptotic of solutions of second-order differential equations with rapidly varying nonlinearities
by: V. M. Evtukhov, et al.
Published: (2019)

On the asymptotic of solutions of the second-order differential equations with rapidly varying nonlinearities
by: Evtukhov , V. M., et al.
Published: (2021)

On the asymptotic of solutions of second-order differential equations with rapidly varying nonlinearities
by: Evtukhov, V. M., et al.
Published: (2019)

Rapid localization of trajectories in the problem of optimal control
by: Popov, V. I., et al.
Published: (1992)

Asymptotic behavior of solutions of third-order differential equations with rapidly varying nonlinearity
by: V. M. Yevtukhov, et al.
Published: (2022)

Asymptotics of solutions of the second-order differential equations with regularly and rapidly varying nonlinearities
by: V. M. Evtukhov, et al.
Published: (2018)

Asymptotic behavior of the solutions of second-order differential equations with rapidly varying nonlinearities
by: V. M. Evtukhov, et al.
Published: (2017)

Asymptotic behavior of solutions of third-order differential equations with rapidly varying nonlinearity:
by: Evtukhov, V. M., et al.
Published: (2022)

Asymptotic behavior of the solutions of second-order differential equations with rapidly varying nonlinearities
by: Evtukhov, V. M., et al.
Published: (2017)

The solution of an optimal control problem for a third-order equation in the presence of distributed and starting controls
by: M. M. Jagubova, et al.
Published: (2019)

On Pathological Solutions to an Optimal Boundary Control Problem for Linear Parabolic Equation with Continuous Coefficients
by: S.O. Gorbonos, et al.
Published: (2014)

On pathological solutions to an optimal boundary control problem for linear parabolic equation with continuous coefficients
by: Gorbonos, S.O., et al.
Published: (2014)

Asymptotic representations of rapidly varying solutions of essentially nonlinear differential equations of the second order
by: G. A. Gerzhanovskaja
Published: (2017)

Asymptotic representations of solutions to second order differential equations with rapidly and regularly varying nonlinearities
by: O. O. Chepok
Published: (2017)

Rapidly varying solutions of a second-order differential equation with regularly and rapidly varying nonlinearities
by: V. M. Evtukhov, et al.
Published: (2018)

Asymptotic analysis of a bounded control in optimal elliptic problems
by: Kapustyan, V. E., et al.
Published: (1993)

Asymptotically optimal control for a control-linear problem with fast and slow variables
by: I. A. Bojtsova
Published: (2016)

Asymptotics of slowly changing solutions to second order binomial differential equations with rapidly varying nonlinearities
by: V. M. Evtukhov, et al.
Published: (2016)

Optimal control of the process of oscillations of a thin rectangular shank
by: M. M. Kopets
Published: (2015)

Optimal control over the process of heating of a thin core
by: M. M. Kopets
Published: (2014)

Optimal control over axisymmetric vibrations of a circular membrane
by: M. M. Kopets
Published: (2015)

Asymptotic behavior of slowly varying solutions of second-order binomial differential equations with rapid varying nonlinearity
by: V. M. Evtukhov, et al.
Published: (2017)

On Problem of Optimal Control of Oscillations of String
by: V. R. Barsegjan
Published: (2020)

On optimal control over quasilinear systems
by: Trigub, M. V., et al.
Published: (1995)

Oscillation and asymptotic behavior of odd-order delay differential equations with impulses
by: Chen, F.
Published: (2012)

On the structural representation of S-homogenized optimal control problems
by: Kogut, P.I.
Published: (1999)

Asymptotic representations of one class of solutions of a second-order difference equation with power nonlinearity
by: Khar’kov, V. M., et al.
Published: (2009)

An analytical expression of the optimal control for a system of the two linked and controlled almost conservative oscillators
by: O. V. Teteriatnyk
Published: (2014)

Approximate minimax estimation of functional from the solution of parabolic boundary-value problem with rapidly oscillating coefficients under nonlinear observations
by: O. A. Kapustian, et al.
Published: (2019)