Cover Image

Biharmonic continuations of gradients with the help of monogenic functions with values in the biharmonic algebra

Saved in:

Bibliographic Details
Date:	2024
Main Author:	S. Gryshchuk
Format:	Article
Language:	English
Published:	2024
Series:	Ukrainian Mathematical Journal
Online Access:	http://jnas.nbuv.gov.ua/article/UJRN-0001488174
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Library portal of National Academy of Sciences of Ukraine \| LibNAS

Institution

Library portal of National Academy of Sciences of Ukraine | LibNAS

Similar Items

Biharmonic continuations of gradients with the help of monogenic functions with values in the biharmonic algebra
by: Gryshchuk, S., et al.
Published: (2024)

Monogenic functions in a biharmonic algebra
by: Gryshchuk, S. V., et al.
Published: (2009)

Biharmonic problem in an angle and monogenic functions
by: Gryshchuk, S. V., et al.
Published: (2026)

Monogenic functions with values in commutative complex algebras of the second rank with unity and the generalized biharmonic equation with double characteristics
by: Gryshchuk , S. V., et al.
Published: (2022)

Biharmonic problem in an angle and monogenic functions
by: S. V. Hryshchuk, et al.
Published: (2022)

Monogenic functions with values in algebras of the second rank over the complex field and a generalized biharmonic equation with a triple characteristic
by: S. V. Gryshchuk
Published: (2022)

Monogenic functions with values in сommutative сomplex algebras of the second rank with unit and generalized biharmonic equation with simple nonzero simple characteristics
by: Gryshchuk , S. V., et al.
Published: (2021)

Monogenic functions with values in commutative complex algebras of the second rank with unity and the generalized biharmonic equation with double characteristic
by: S. V. Hryshchuk
Published: (2022)

Monogenic functions with values in commutative complex algebras of the second rank with unit and the generalized biharmonic equation with simple nonzero characteristics
by: S. V. Hryshchuk
Published: (2021)

Power series and conformal mappings in one boundary value problem for monogenic functions of the biharmonic variable
by: S. V. Gryschuk
Published: (2014)

Hypercomplex monogenic functions of the biharmonic variable in some problems of plane elasticity theory
by: S. V. Hryshchuk
Published: (2015)

Power series in a boundary value problem for monogenic functions of a biharmonic variable in a disk
by: S. V. Grishchuk
Published: (2013)

Schwartz-type boundary value problems for canonical domains in a biharmonic plane
by: S. V. Gryshchuk, et al.
Published: (2021)

A hypercomplex method for solving piecewise continuous biharmonic problem in domains with corner points
by: Gryshchuk, S., et al.
Published: (2026)

Approximation of conjugate differentiable functions by biharmonic Poisson integrals
by: Zhyhallo, K. M., et al.
Published: (2009)

Approximation of Differentiable Periodic Functions by Their Biharmonic Poisson Integrals
by: Zhyhallo, K. M., et al.
Published: (2002)

On the Approximation of Functions of the Hölder Class by Biharmonic Poisson Integrals
by: Zhyhallo, K. M., et al.
Published: (2000)

Asymptotics of the values of approximations in the mean for classes of differentiable functions by using biharmonic Poisson integrals
by: Kalchuk, I. V., et al.
Published: (2007)

Tangential limit values of a biharmonic poisson integral in a disk
by: Hembars'ka, S. B., et al.
Published: (1997)

On approximation of functions from Zygmund classes by biharmonic Poisson integrals
by: B. N. Borsuk, et al.
Published: (2021)

Monogenic functions taking values in generalized Clifford algebras
by: Dinh, Doan Cong, et al.
Published: (2021)

On some asymptotic properties of solutions to biharmonic equations
by: Yu. I. Kharkevych
Published: (2022)

Ricci soliton biharmonic hypersurfaces in the Euclidean space
by: N. Mosadegh, et al.
Published: (2021)

Ricci soliton biharmonic hypersurfaces in the Euclidean space
by: Mosadegh, N., et al.
Published: (2021)

Biharmonic potentials and plane isotropic fields of displacement
by: Kovalev , V. F., et al.
Published: (1988)

On the renewal of a solution of the Dirichlet boundary-value problem for a biharmonic equation
by: Shabozov, M. Sh., et al.
Published: (1998)

Approximative properties of biharmonic Poisson integrals on Hölder classes
by: S. B. Hembarska, et al.
Published: (2017)

Approximative properties of biharmonic Poisson integrals on Hölder classes
by: Hembars'ka, S. B., et al.
Published: (2017)

Approximation of (ψ, β)-differentiable functions of low smoothness by biharmonic Poisson integrals
by: Zhyhallo, K. M., et al.
Published: (2011)

Taylor series of biharmonic Poisson integral for upper half plane
by: A. M. Shutovskyi, et al.
Published: (2022)

On the solution of a complicated biharmonic equation in a hydroelasticity problem
by: Yu. M. Kononov
Published: (2023)

Eigenfunctions of axially symmetric biharmonic problems for a finite cylinder
by: L. I. Postolaki
Published: (2021)

Approximative properties of biharmonic Poisson integrals in the classes Wrβ
by: I. V. Kalchuk, et al.
Published: (2016)

On the approximation of functions from the Holder class given on a segment by their biharmonic Poisson operators
by: K. M. Zhyhallo, et al.
Published: (2019)

Approximation of functions from the classes $C^{\psi}_{\beta, \infty}$ by biharmonic Poisson integrals
by: Zhyhallo, K. M., et al.
Published: (2011)

On the approximation of functions from the Hölder class given on a segment by their biharmonic Poisson operators
by: Zhyhallo, K. M., et al.
Published: (2019)

On the structure of sets of $ σ$-monogeneity for continuous functions
by: Bondar, A. V., et al.
Published: (1993)

Best approximation and best unilateral approximation of the kernel of a biharmonic equation and optimal renewal of the values of operators
by: Shabozov, M. Sh., et al.
Published: (1995)

On monogenic functions defined in different commutative algebras
by: V. S. Shpakivskyi
Published: (2018)

On differentiable and monogenic functions in a harmonic algebra
by: S. A. Plaksa
Published: (2017)