A. V. Rozanova, “Controllability for a Nonlinear Abstract Evolution Equation”, Mat. Zametki, 76:4 (2004), 553–567; Math. Notes, 76:4 (2004), 511

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Matematicheskie Zametki, 2004, Volume 76, Issue 4, Pages 553–567
DOI: https://doi.org/10.4213/mzm131 (Mi mzm131)

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

Controllability for a Nonlinear Abstract Evolution Equation

A. V. Rozanova

Peoples Friendship University of Russia

Full-text PDF (234 kB) Citations (12)

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DOI: https://doi.org/10.4213/mzm131

Abstract: We prove a theorem on the local controllability of a system described by a nonlinear evolution equation in Banach space when the control is a multiplier on the right-hand side. We obtain sufficient conditions on the size of the neighborhood from which we can take the function from the overdetermination condition so that the inverse problem is uniquely solvable.

Received: 20.01.2003

English version:
Mathematical Notes, 2004, Volume 76, Issue 4, Pages 511–524
DOI: https://doi.org/10.1023/B:MATN.0000043481.71476.9e

Bibliographic databases:

UDC: 517.9

Language: Russian

Citation: A. V. Rozanova, “Controllability for a Nonlinear Abstract Evolution Equation”, Mat. Zametki, 76:4 (2004), 553–567; Math. Notes, 76:4 (2004), 511–524

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Linking options:

https://www.mathnet.ru/eng/mzm131

https://doi.org/10.4213/mzm131

https://www.mathnet.ru/eng/mzm/v76/i4/p553

Erratum

Letter to the Editor
A. V. Rozanova
Mat. Zametki, 2005, 78:5, 800

This publication is cited in the following 12 articles:

A. V Chernov, “O tochnoy upravlyaemosti polulineynogo evolyutsionnogo uravneniya s neogranichennym operatorom”, Differencialʹnye uravneniâ, 59:2 (2023), 257
A. V. Chernov, “On the Exact Controllability of a Semilinear Evolution Equation with an Unbounded Operator”, Diff Equat, 59:2 (2023), 265
Dekkers A. Rozanova-Pierrat A. Teplyaev A., “Mixed Boundary Valued Problems For Linear and Nonlinear Wave Equations in Domains With Fractal Boundaries”, Calc. Var. Partial Differ. Equ., 61:2 (2022), 75
Adrien Dekkers, Anna Rozanova-Pierrat, “Dirichlet boundary valued problems for linear and nonlinear wave equations on arbitrary and fractal domains”, Journal of Mathematical Analysis and Applications, 512:1 (2022), 126089
Meng K., Chen Y., “Stability and Solvability Analysis For a Class of Optimal Control Problems Described By Fractional Differential Equations With Non-Instantaneous Impulses”, Filomat, 35:12 (2021), 4221–4237
Chen Y., Meng K., “Stability and Solvability For a Class of Optimal Control Problems Described By Non-Instantaneous Impulsive Differential Equations”, Adv. Differ. Equ., 2020:1 (2020), 524
A. V. Chernov, “Ob upravlyaemosti nelineinykh raspredelennykh sistem na mnozhestve konechnomernykh approksimatsii upravleniya”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2013, no. 1, 83–98
A. V. Chernov, “Sufficient conditions for the controllability of nonlinear distributed systems”, Comput. Math. Math. Phys., 52:8 (2012), 1115–1127
Chernov A.V., “On the Convexity of Global Solvability Sets for Controlled Initial-Boundary Value Problems”, Differ. Equ., 48:4 (2012), 586–595
Rozanova-Pierrat A., “On the controllability for the Khokhlov-Zabolotskaya-Kuznetsov-like equation”, Applicable Analysis, 89:3 (2010), 391–408
N. Hamdi, “An inverse problem for a nonlinear transport equation with final overdetermination”, Lobachevskii J Math, 29:4 (2008), 230
A. V. Rozanova, “Letter to the Editor”, Math. Notes, 78:5 (2005), 745–745

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

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