%0 Journal Article
%A Плакса, С. А.
%A Грищук, С. В.
%D 2019
%F zu2:28411
%J Springer Nature Switzerland AG
%K Biharmonic equation - Biharmonic algebra - Biharmonic plane -  Monogenic function - Schwartz-type boundary value problem
%T Schwartz-Type Boundary Value Problems for Monogenic Functions in a Biharmonic Algebra
%U http://eprints.zu.edu.ua/28411/
%X We consider Schwartz-type boundary value problems for monogenic functions in a commutative algebra over the field of complex numbers with the bases {e1, e2} satisfying the conditions , . The algebra is  associated with the biharmonic equation, and considered problems have  relations to the plane elasticity. We develop methods of its solving  which are based on expressions of solutions by hypercomplex integrals  analogous to the classic Schwartz and Cauchy integrals.