Biharmonic problem in an angle and monogenic functions
UDC 517.54, 517.95 We consider a piecewise continuous biharmonic problem in an angle and the corresponding Schwartz-type boundary-value problem for monogenic functions in a commutative biharmonic algebra.  These problems are reduced to a system of integral equations o...
Saved in:
| Date: | 2026 |
|---|---|
| Main Authors: | Gryshchuk, S. V., Plaksa, S. A., Грищук, С. В., Плакса, С. А. |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2026
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7292 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Biharmonic problem in an angle and monogenic functions
by: S. V. Hryshchuk, et al.
Published: (2022)
by: S. V. Hryshchuk, et al.
Published: (2022)
Monogenic functions in a biharmonic algebra
by: Gryshchuk, S. V., et al.
Published: (2009)
by: Gryshchuk, S. V., et al.
Published: (2009)
Biharmonic continuations of gradients with the help of monogenic functions with values in the biharmonic algebra
by: Gryshchuk, S., et al.
Published: (2024)
by: Gryshchuk, S., et al.
Published: (2024)
Biharmonic continuations of gradients with the help of monogenic functions with values in the biharmonic algebra
by: S. Gryshchuk
Published: (2024)
by: S. Gryshchuk
Published: (2024)
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)
by: Gryshchuk , S. V., et al.
Published: (2022)
A hypercomplex method for solving piecewise continuous biharmonic problem in domains with corner points
by: Gryshchuk, S., et al.
Published: (2026)
by: Gryshchuk, S., et al.
Published: (2026)
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)
by: Gryshchuk , S. V., et al.
Published: (2021)
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)
by: S. V. Gryshchuk
Published: (2022)
Hypercomplex monogenic functions of the biharmonic variable in some problems of plane elasticity theory
by: S. V. Hryshchuk
Published: (2015)
by: S. V. Hryshchuk
Published: (2015)
Schwartz-type boundary value problems for canonical domains in a biharmonic plane
by: S. V. Gryshchuk, et al.
Published: (2021)
by: S. V. Gryshchuk, et al.
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)
by: S. V. Gryschuk
Published: (2014)
Power series in a boundary value problem for monogenic functions of a biharmonic variable in a disk
by: S. V. Grishchuk
Published: (2013)
by: S. V. Grishchuk
Published: (2013)
Constructive description of monogenic functions in a harmonic algebra of the third rank
by: Plaksa, S. A., et al.
Published: (2010)
by: Plaksa, S. A., et al.
Published: (2010)
On differentiable and monogenic functions in a harmonic algebra
by: S. A. Plaksa
Published: (2017)
by: S. A. Plaksa
Published: (2017)
An analog of the Men’shov – Trokhimchuk theorem for monogenic functions in a three-dimensional commutative algebra
by: Tkachuk, M. V., et al.
Published: (2021)
by: Tkachuk, M. V., et al.
Published: (2021)
On the Logarithmic Residues of Monogenic functions in a Three-Dimensional Harmonic Algebra with Two-Dimensional Radical
by: Plaksa, S. A., et al.
Published: (2013)
by: Plaksa, S. A., et al.
Published: (2013)
Reduction of the principal biharmonic problem for a quadrant to nonsingular integral equations
by: Mel'nichenko, I. P., et al.
Published: (1995)
by: Mel'nichenko, I. P., et al.
Published: (1995)
Potential fields with axial symmetry and algebras of monogenic functions of vector variables. III
by: Mel'nichenko, I. P., et al.
Published: (1997)
by: Mel'nichenko, I. P., et al.
Published: (1997)
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)
by: S. V. Hryshchuk
Published: (2022)
Monogenic functions in commutative algebras associated with classical equations of mathematical physics
by: S. A. Plaksa
Published: (2018)
by: S. A. Plaksa
Published: (2018)
Constructive description of monogenic functions in a three-dimensional harmonic algebra with one-dimensional radical
by: Plaksa, S. A., et al.
Published: (2013)
by: Plaksa, S. A., et al.
Published: (2013)
Potential fields with axial symmetry and algebras of monogenic functions of a vector variable. II
by: Mel'nichenko, I. P., et al.
Published: (1996)
by: Mel'nichenko, I. P., et al.
Published: (1996)
Potential fields with axial symmetry and algebras of monogenic functions of a vector variable. I
by: Mel'nichenko, I. P., et al.
Published: (1996)
by: Mel'nichenko, I. P., et al.
Published: (1996)
Monogenic functions in commutative algebras associated with classical equations of mathematical physics
by: Plaksa, S.A.
Published: (2018)
by: Plaksa, S.A.
Published: (2018)
Integral theorems for monogenic functions in an infinite-dimensional space with a commutative multiplication
by: S. A. Plaksa
Published: (2013)
by: S. A. Plaksa
Published: (2013)
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)
by: S. V. Hryshchuk
Published: (2021)
On the Logarithmic Residues of Monogenic functions in a Three-Dimensional Harmonic Algebra with Two-Dimensional Radical
by: S. A. Plaksa, et al.
Published: (2013)
by: S. A. Plaksa, et al.
Published: (2013)
Monogenic functions of double variable
by: V. S. Shpakivskyi, et al.
Published: (2013)
by: V. S. Shpakivskyi, et al.
Published: (2013)
Constructive description of monogenic functions in a three-dimensional harmonic algebra with one-dimensional radical
by: S. A. Plaksa, et al.
Published: (2013)
by: S. A. Plaksa, et al.
Published: (2013)
Monogenic Functions in Conformal Geometry
by: Eastwood, M., et al.
Published: (2007)
by: Eastwood, M., et al.
Published: (2007)
Integral representations of generalized axially symmetric potentials in a simply connected domain
by: Gryshchuk, S. V., et al.
Published: (2009)
by: Gryshchuk, S. V., et al.
Published: (2009)
An analog of the Men'shov–Trokhimchuk theorem for monogenic functions in a three-dimensional commutative algebra
by: M. V. Tkachuk, et al.
Published: (2021)
by: M. V. Tkachuk, et al.
Published: (2021)
On the structure of sets of $ σ$-monogeneity for continuous functions
by: Bondar, A. V., et al.
Published: (1993)
by: Bondar, A. V., et al.
Published: (1993)
Dirichlet Problem for the Stokes Flow Function in a Simply-Connected Domain of the Meridian Plane
by: Plaksa, S. A., et al.
Published: (2003)
by: Plaksa, S. A., et al.
Published: (2003)
On monogenic functions defined in different commutative algebras
by: V. S. Shpakivskyi
Published: (2018)
by: V. S. Shpakivskyi
Published: (2018)
Integral theorems for monogenic functions in commutative algebras
by: V. S. Shpakivski
Published: (2015)
by: V. S. Shpakivski
Published: (2015)
Series expansions for monogenic functions in Clifford algebras and their application
by: A. A. Pogorui, et al.
Published: (2020)
by: A. A. Pogorui, et al.
Published: (2020)
Monogenic functions in finite-dimensional commutative associative algebras
by: V. S. Shpakivskyi
Published: (2015)
by: V. S. Shpakivskyi
Published: (2015)
Approximation of conjugate differentiable functions by biharmonic Poisson integrals
by: Zhyhallo, K. M., et al.
Published: (2009)
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)
by: Zhyhallo, K. M., et al.
Published: (2002)
Similar Items
-
Biharmonic problem in an angle and monogenic functions
by: S. V. Hryshchuk, et al.
Published: (2022) -
Monogenic functions in a biharmonic algebra
by: Gryshchuk, S. V., et al.
Published: (2009) -
Biharmonic continuations of gradients with the help of monogenic functions with values in the biharmonic algebra
by: Gryshchuk, S., et al.
Published: (2024) -
Biharmonic continuations of gradients with the help of monogenic functions with values in the biharmonic algebra
by: S. Gryshchuk
Published: (2024) -
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)