Monogenic functions in a biharmonic algebra. Zbl 1224.46098
Grishchuk, S. V.; Plaksa, S. A. |
|
2009
|
Basic properties of monogenic functions in a biharmonic plane. Zbl 1320.30086
Gryshchuk, S. V.; Plaksa, S. A. |
|
2013
|
Monogenic functions in the biharmonic boundary value problem. Zbl 1345.30073
Gryshchuk, Serhii V.; Plaksa, Sergiy A. |
|
2016
|
Simple eigenvalues for the Steklov problem in a domain with a small hole. A functional analytic approach. Zbl 1301.35065
Gryshchuk, Serhii; Lanza de Cristoforis, Massimo |
|
2014
|
Commutative complex algebras of the second rank with unity and some cases of plane orthotropy. I. Zbl 1419.30032
Gryshchuk, S. V. |
|
2019
|
On logarithmic residue of monogenic functions of biharmonic variable. Zbl 1240.31004
Grishchuk, S. V.; Plaksa, S. A. |
|
2010
|
\(\mathbb B\)-valued monogenic functions and their applications to boundary value problems in displacements of 2-D elasticity. Zbl 1379.30035
Gryshchuk, S. V. |
|
2016
|
Hypercomplex monogenic functions of biharmonic variable in some problems of plane elasticity theory. Zbl 1340.30185
Gryshchuk, S. V. |
|
2015
|
Integral representations of generalized axially symmetric potentials in a simply connected domain. Zbl 1224.31003
Grishchuk, S. V.; Plaksa, S. A. |
|
2009
|
Reduction of a Schwartz-type boundary value problem for biharmonic monogenic functions to Fredholm integral equations. Zbl 1362.30048
Gryshchuk, Serhii V.; Plaksa, Sergiy A. |
|
2017
|
Commutative complex algebras of the second rank with unity and some cases of plane orthotropy. II. Zbl 1425.30041
Gryshchuk, S. V. |
|
2019
|
One-dimensionality of the kernel of the system of Fredholm integral equations for a homogeneous biharmonic problem. Zbl 1389.31010
Gryshchuk, S. V. |
|
2017
|
A Schwartz-type boundary value problem in a biharmonic plane. Zbl 1372.30051
Gryshchuk, S. V.; Plaksa, S. A. |
|
2017
|
Monogenic functions in a biharmonic plane. Zbl 1199.31005
Gryshchuk, S. V.; Plaksa, S. A. |
|
2009
|
Schwartz-type boundary value problems for monogenic functions in a biharmonic algebra. Zbl 1418.30049
Gryshchuk, S. V.; Plaksa, S. A. |
|
2019
|
Monogenic functions in commutative complex algebras of the second rank and the Lamé equilibrium system for some class of plane orthotropy. Zbl 1451.30092
Gryshchuk, Serhii V. |
|
2020
|
Monogenic functions with values in commutative complex algebras of the second rank with unit and a generalized biharmonic equation with simple nonzero characteristics. Zbl 1482.30120
Gryshchuk, S. V. |
|
2021
|
Effective conductivity of 2D ellipse-elliptical ring composite material. Zbl 1340.74004
Gryshchuk, S. V. |
|
2015
|
Expressions of solutions of the Euler-Poisson-Darboux equation via the components of hypercomplex analytic functions. Zbl 1120.30038
Gryshchuk, S. V.; Plaksa, S. A. |
|
2006
|
Power series and conformal mappings in one boundary value problem for monogenic functions of the biharmonic variable. Zbl 1313.30159
Gryshchuk, S. V. |
|
2014
|
Asymptotic behaviour of the energy integral of simple eigenfunctions for the Steklov problem in a domain with a small hole. A functional analytic approach. Zbl 1289.47115
Gryshchuk, Serhii; Lanza de Cristoforis, Massimo |
|
2012
|
Effective conductivity of 2D disk-ring composite material. Zbl 1330.74011
Gryshchuk, Serhii; Rogosin, Sergei |
|
2013
|
Commutative algebras of monogenic functions associated with classic equations of mathematical physics. Zbl 1254.30085
Plaksa, S. A.; Gryshchuk, S. V.; Shpakivskyi, V. S. |
|
2011
|
Monogenic functions with values in commutative algebras of the second rank with unit and the generalized biharmonic equation with double characteristic. Zbl 1502.35053
Gryshchuk, S. V. |
|
2022
|
Schwartz-type boundary-value problems for canonical domains in a biharmonic plane. Zbl 1477.30045
Gryshchuk, Serhii V.; Plaksa, Sergiy A. |
|
2021
|
Biharmonic monogenic functions and biharmonic boundary value problems. Zbl 1428.30053
Gryshchuk, Serhii V.; Plaksa, Sergiy A. |
|
2019
|
Monogenic functions with values in commutative algebras of the second rank with unit and the generalized biharmonic equation with double characteristic. Zbl 1502.35053
Gryshchuk, S. V. |
|
2022
|
Monogenic functions with values in commutative complex algebras of the second rank with unit and a generalized biharmonic equation with simple nonzero characteristics. Zbl 1482.30120
Gryshchuk, S. V. |
|
2021
|
Schwartz-type boundary-value problems for canonical domains in a biharmonic plane. Zbl 1477.30045
Gryshchuk, Serhii V.; Plaksa, Sergiy A. |
|
2021
|
Monogenic functions in commutative complex algebras of the second rank and the Lamé equilibrium system for some class of plane orthotropy. Zbl 1451.30092
Gryshchuk, Serhii V. |
|
2020
|
Commutative complex algebras of the second rank with unity and some cases of plane orthotropy. I. Zbl 1419.30032
Gryshchuk, S. V. |
|
2019
|
Commutative complex algebras of the second rank with unity and some cases of plane orthotropy. II. Zbl 1425.30041
Gryshchuk, S. V. |
|
2019
|
Schwartz-type boundary value problems for monogenic functions in a biharmonic algebra. Zbl 1418.30049
Gryshchuk, S. V.; Plaksa, S. A. |
|
2019
|
Biharmonic monogenic functions and biharmonic boundary value problems. Zbl 1428.30053
Gryshchuk, Serhii V.; Plaksa, Sergiy A. |
|
2019
|
Reduction of a Schwartz-type boundary value problem for biharmonic monogenic functions to Fredholm integral equations. Zbl 1362.30048
Gryshchuk, Serhii V.; Plaksa, Sergiy A. |
|
2017
|
One-dimensionality of the kernel of the system of Fredholm integral equations for a homogeneous biharmonic problem. Zbl 1389.31010
Gryshchuk, S. V. |
|
2017
|
A Schwartz-type boundary value problem in a biharmonic plane. Zbl 1372.30051
Gryshchuk, S. V.; Plaksa, S. A. |
|
2017
|
Monogenic functions in the biharmonic boundary value problem. Zbl 1345.30073
Gryshchuk, Serhii V.; Plaksa, Sergiy A. |
|
2016
|
\(\mathbb B\)-valued monogenic functions and their applications to boundary value problems in displacements of 2-D elasticity. Zbl 1379.30035
Gryshchuk, S. V. |
|
2016
|
Hypercomplex monogenic functions of biharmonic variable in some problems of plane elasticity theory. Zbl 1340.30185
Gryshchuk, S. V. |
|
2015
|
Effective conductivity of 2D ellipse-elliptical ring composite material. Zbl 1340.74004
Gryshchuk, S. V. |
|
2015
|
Simple eigenvalues for the Steklov problem in a domain with a small hole. A functional analytic approach. Zbl 1301.35065
Gryshchuk, Serhii; Lanza de Cristoforis, Massimo |
|
2014
|
Power series and conformal mappings in one boundary value problem for monogenic functions of the biharmonic variable. Zbl 1313.30159
Gryshchuk, S. V. |
|
2014
|
Basic properties of monogenic functions in a biharmonic plane. Zbl 1320.30086
Gryshchuk, S. V.; Plaksa, S. A. |
|
2013
|
Effective conductivity of 2D disk-ring composite material. Zbl 1330.74011
Gryshchuk, Serhii; Rogosin, Sergei |
|
2013
|
Asymptotic behaviour of the energy integral of simple eigenfunctions for the Steklov problem in a domain with a small hole. A functional analytic approach. Zbl 1289.47115
Gryshchuk, Serhii; Lanza de Cristoforis, Massimo |
|
2012
|
Commutative algebras of monogenic functions associated with classic equations of mathematical physics. Zbl 1254.30085
Plaksa, S. A.; Gryshchuk, S. V.; Shpakivskyi, V. S. |
|
2011
|
On logarithmic residue of monogenic functions of biharmonic variable. Zbl 1240.31004
Grishchuk, S. V.; Plaksa, S. A. |
|
2010
|
Monogenic functions in a biharmonic algebra. Zbl 1224.46098
Grishchuk, S. V.; Plaksa, S. A. |
|
2009
|
Integral representations of generalized axially symmetric potentials in a simply connected domain. Zbl 1224.31003
Grishchuk, S. V.; Plaksa, S. A. |
|
2009
|
Monogenic functions in a biharmonic plane. Zbl 1199.31005
Gryshchuk, S. V.; Plaksa, S. A. |
|
2009
|
Expressions of solutions of the Euler-Poisson-Darboux equation via the components of hypercomplex analytic functions. Zbl 1120.30038
Gryshchuk, S. V.; Plaksa, S. A. |
|
2006
|