On some asymptotic properties of solutions to biharmonic equations

DOI10.1007/S10559-022-00457-YOpenAlexW4283362758MaRDI QIDQ2103773

Yu. I. Kharkevych

Publication date: 9 December 2022

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-022-00457-y

zbMATH Keywords

biharmonic equationsapproximation errorSobolev classescomplete asymptotic expansionsoptimization properties of functions

Mathematics Subject Classification ID

Game theory (91Axx) Harmonic analysis in one variable (42Axx) Approximations and expansions (41Axx)

Related Items (6)

Approximate characteristics of generalized Poisson operators on Zygmund classes ⋮ Exact values of the approximations of differentiable functions by Poisson-type integrals ⋮ Asymptotic properties of the solutions of higher-order differential equations on generalized Hölder classes ⋮ Some applied aspects of the Dirac delta function ⋮ Fourier transform of the summatory Abel-Poisson function ⋮ Some asymptotic properties of the solutions of Laplace equations in a unit disk

Cites Work

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• Matrix resolving functions in game problems of dynamics
• On a differential game in an abstract parabolic system
• Game problems for fractional-order linear systems
• Approximation of functions from the classes \(C_{\beta, \infty}^{\psi}\) by biharmonic Poisson integrals
• Some properties of operators of Abel-Poisson type
• Control game problems for quasilinear systems with Riemann-Liouville fractional derivatives
• Approximation of \((\psi, \beta)\)-differentiable functions of low smoothness by biharmonic Poisson integrals
• Approximation of the classes \({W}_{\beta}^r{H}^{\alpha }\) by three-harmonic Poisson integrals
• Approximation of the classes \(C_{\beta}^{\psi } H^\alpha\) by biharmonic Poisson integrals
• Approximation of functions from the class ${\ifmmode\expandafter\hat\else\expandafter\^\fi{C}}^\psi_{\beta,\infty}$ by Poisson biharmonic operators in the uniform metric
• Asymptotics of approximation of functions by conjugate Poisson integrals
• Approximation of the classes $W^{r}_{\beta,\infty}$ by three-harmonic Poisson integrals
• Asymptotics of approximation of conjugate functions by Poisson integrals

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