A. R. Danilin, A. P. Zorin, “Asymptotics of a solution to an optimal boundary control problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 4, 2009, 95–107; Proc. Steklov Inst. Math. (Suppl.), 269, suppl. 1 (2010), S81

Loading [MathJax]/jax/output/SVG/config.js

Trudy Instituta Matematiki i Mekhaniki UrO RAN

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 4, Pages 95–107 (Mi timm429)

This article is cited in 12 scientific papers (total in 12 papers)

Asymptotics of a solution to an optimal boundary control problem

A. R. Danilin^a, A. P. Zorin^b

^a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
^b Urals State Pedagogical University

Full-text PDF (201 kB) Citations (12)

References:

PDF

HTML

Abstract: A problem of optimal boundary control of solutions of an elliptic-type equation with a small coefficient at the highest derivative and integral restrictions on the control is considered. Asymptotic estimates for solutions of a problem that approximates the original problem are obtained.

Keywords: singular problems, optimal control, boundary-value problems for systems of partial differential equations, asymptotic expansions.

Received: 08.05.2009

English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2010, Volume 269, Issue 1, Pages S81–S94
DOI: https://doi.org/10.1134/S0081543810060088

Bibliographic databases:

Document Type: Article

UDC: 517.977

Language: Russian

Citation: A. R. Danilin, A. P. Zorin, “Asymptotics of a solution to an optimal boundary control problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 4, 2009, 95–107; Proc. Steklov Inst. Math. (Suppl.), 269, suppl. 1 (2010), S81–S94

Citation in format AMSBIB

\Bibitem{DanZor09}

\by A.~R.~Danilin, A.~P.~Zorin

\paper Asymptotics of a~solution to an optimal boundary control problem

\serial Trudy Inst. Mat. i Mekh. UrO RAN

\yr 2009

\vol 15

\issue 4

\pages 95--107

\mathnet{http://mi.mathnet.ru/timm429}

\elib{https://elibrary.ru/item.asp?id=12952758}

\transl

\jour Proc. Steklov Inst. Math. (Suppl.)

\yr 2010

\vol 269

\issue , suppl. 1

\pages S81--S94

\crossref{https://doi.org/10.1134/S0081543810060088}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84903309670}

Linking options:

https://www.mathnet.ru/eng/timm429

https://www.mathnet.ru/eng/timm/v15/i4/p95

This publication is cited in the following 12 articles:

A. R. Danilin, “Asymptotics for solutions of problem on optimally distributed control in convex domain with small parameter at one of higher derivatives”, Ufa Math. J., 15:2 (2023), 42–54
A. R. Danilin, “Asymptotic expansion for the solution of an optimal boundary control problem in a doubly connected domain with different control intensity on boundary segments”, Comput. Math. Math. Phys., 62:2 (2022), 218–231
A. R. Danilin, “Asimptotika resheniya zadachi optimalnogo granichnogo upravleniya s dvumya malymi sopodchinennymi parametrami”, Tr. IMM UrO RAN, 26, no. 1, 2020, 102–111
A. R. Danilin, “Asymptotics of the Solution of a Singular Optimal Distributed Control Problem with Essential Constraints in a Convex Domain”, Diff Equat, 56:2 (2020), 251
A. R. Danilin, “Asymptotics of the solution of a bisingular optimal boundary control problem in a bounded domain”, Comput. Math. Math. Phys., 58:11 (2018), 1737–1747
A. R. Danilin, “Asymptotic expansion of a solution to a singular perturbation optimal control problem on an interval with integral constraint”, Proc. Steklov Inst. Math. (Suppl.), 291, suppl. 1 (2015), 66–76
A. R. Danilin, “Solution asymptotics in a problem of optimal boundary control of a flow through a part of the boundary”, Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 55–66
A. P. Zorin, “Asimptoticheskoe razlozhenie resheniya zadachi optimalnogo upravleniya ogranichennym potokom na granitse”, Tr. IMM UrO RAN, 19, no. 1, 2013, 115–120
A. R. Danilin, N. S. Korobitsyna, “Asymptotic estimates for a solution of a singular perturbation optimal control problem on a closed interval under geometric constraints”, Proc. Steklov Inst. Math. (Suppl.), 285, suppl. 1 (2014), S58–S67
A. R. Danilin, “Optimalnoe granichnoe upravlenie v oblasti s maloi polostyu”, Ufimsk. matem. zhurn., 4:2 (2012), 87–100
A. R. Danilin, A. P. Zorin, “Asimptotika resheniya zadachi optimalnogo granichnogo upravleniya v ogranichennoi oblasti”, Tr. IMM UrO RAN, 18, no. 3, 2012, 75–82
Danilin A.R., Zorin A.P., “Asymptotic expansion of solutions to optimal boundary control problems”, Dokl. Math., 84:2 (2011), 665–668

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Trudy Instituta Matematiki i Mekhaniki UrO RAN

Statistics & downloads:
Abstract page:	407
Full-text PDF :	126
References:	73
First page:	2

Что такое QR-код?

Registration to the website

Logotypes