Schwartz-Type Boundary Value Problems for Monogenic Functions in a Biharmonic Algebra

Плакса, С. А. and Грищук, С. В. (2019) Schwartz-Type Boundary Value Problems for Monogenic Functions in a Biharmonic Algebra. Springer Nature Switzerland AG.

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: Biharmonic equation - Biharmonic algebra - Biharmonic plane - Monogenic function - Schwartz-type boundary value problem
Subjects: Q Science > QA Mathematics > Mathematical Analysis
Divisions: Faculty of Physics and Mathematics > Department of Mathematical Analysis
Depositing User: Ірина Ігорівна Таргонська
Date Deposited: 26 Feb 2019 09:35
Last Modified: 26 Feb 2019 09:37
URI: http://eprints.zu.edu.ua/id/eprint/28411

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