Перейти до основного вмісту
Guaranteed estimation of linear continuous functionals from solutions of a biharmonic equation under integral observation operators
Pertsov Andriy Serhiyovych 1
1 Department of Mathematical Modeling, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords: linear continuous functionals, a biharmonic equation
Abstract
The problem of guaranteed estimation of values of continuous linear functionals of solutions of the Neumann boundary value problem for the biharmonic equation with integral operators observations and quadratic constraints on deterministic data is investigated.
References

[1] Krasovsky N.N. Theory of motion control - M.: Nauka, 1968. - 476 p.

[2] Nakonechny A.G. Minimax estimation of functionals from solutions of variational equations in Hilbert spaces. - Kiev: KSU, 1985. - 82 p.

[3] Nakonechny A.G. Minimax estimates in systems with distributed parameters. - Kiev: Preprint of the Institute of Cybernetics of the Academy of Sciences of the Ukrainian SSR, №79, 1979.- 55 p.

[4] Podlipenko Y.K., Grishchuk N.V. Minimax estimation of solutions of degenerate Neumann boundary value problems for elliptic equations based on observations distributed on the system of surfaces. // Sistemni doslidzhennya i i informatsii tehnologii. - 2004. - №2 p. 104 - 128.

[5] Podlypenko Y.K., Hryshchuk N.V. Estimation of parameters of degenerate elliptic Neumann boundary value problems under uncertainty. Series: Physical and mathematical sciences. - 2004. - № 1. p. 262 - 269.

[6] Podlypenko Y.K., Pertsov A.S. Minimum estimation of solutions of a boundary value problem for a biharmonic equation with Neumann-type boundary conditions // Bulletin of Kyiv University. Series: Physical and Mathematical Sciences. - 2008. - №. 4. p. 153 - 160.

[7] Podlipenko Y.K., Nakonechniy O.G., Pertsov A.S. Minimax estimation of the boundary value problem solution for the linear elasticity theory equations with Neumann type boundary conditions // Dopovidy NAS of Ukraine. - 2010. - №2. p. 43 - 50.

Cite
ACS Style
Pertsov, A.S. Guaranteed estimation of linear continuous functionals from solutions of a biharmonic equation under integral observation operators. Bukovinian Mathematical Journal. 2016, 1
AMA Style
Pertsov AS. Guaranteed estimation of linear continuous functionals from solutions of a biharmonic equation under integral observation operators. Bukovinian Mathematical Journal. 2016; 1(3-4).
Chicago/Turabian Style
Andriy Serhiyovych Pertsov. 2016. "Guaranteed estimation of linear continuous functionals from solutions of a biharmonic equation under integral observation operators". Bukovinian Mathematical Journal. 1 no. 3-4.
Export
We use own, third-party cookies, and localStorage files to analyze web traffic and page activities. Privacy Policy Settings