S. Gryshchuk

activity

20162020

collaborators

4 papers

math.AP2020

New biharmonic bases in commutative algebras of the second rank and monogenic functions related to the biharmonic equation

S. V. Gryshchuk

Among all two-dimensional commutative algebras of the second rank a totally of all their biharmonic bases ${e_{1}, e_{2}}$ , satisfying conditions $(e_{1}^{2} + e_{2}^{2})^{2} = 0$ ,…

math.AP2019

$B_{0}$ -Valued Monogenic Functions to the theory of Plane Anisotropy

Serhii V. Gryshchuk

A solution of the elliptic type PDE of the 4th order, being a reduction of the Eqs. of stress function corresponding to any case of plane anisotropy which is not equal to isotropy…

math.AP2016

A Schwartz-type boundary value problem in a biharmonic plane

S. V. Gryshchuk, S. A. Plaksa

A commutative algebra $B$ over the field of complex numbers with the bases ${e_{1}, e_{2}}$ satisfying the conditions $(e_{1}^{2} + e_{2}^{2})^{2} = 0$ , $e_{1}^{2} + e_{2}^{2} \neq = 0$ , is considered.…

math.AP2016

$B$ -valued monogenic functions and their applications to boundary value problems in displacements of 2-D Elasticity

S. V. Gryshchuk

Consider the commutative algebra $B$ over the field of complex numbers with the bases ${e_{1}, e_{2}}$ such that %satisfying the conditions $(e_{1}^{2} + e_{2}^{2})^{2} = 0$ , $e_1^2+e_2^2\…

New biharmonic bases in commutative algebras of the second rank and monogenic functions related to the biharmonic equation

B0​-Valued Monogenic Functions to the theory of Plane Anisotropy

A Schwartz-type boundary value problem in a biharmonic plane

B-valued monogenic functions and their applications to boundary value problems in displacements of 2-D Elasticity

$B_{0}$ -Valued Monogenic Functions to the theory of Plane Anisotropy

$B$ -valued monogenic functions and their applications to boundary value problems in displacements of 2-D Elasticity