Плакса С. А. and Грищук С. В. (2019) Schwartz-Type Boundary Value Problems for Monogenic Functions in a Biharmonic Algebra. Springer Nature Switzerland AG.
Preview
463690_1_En_10 (2).pdf
Download (428kB) | Preview
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 > QA77 Mathematical Analysis |
| Divisions: | Faculty of Physics and Mathematics > Department of Mathematical Analysis, Business Analytics and Statistics |
| Depositing User: | Ірина Ігорівна Таргонська |
| Date Deposited: | 26 Feb 2019 11:35 |
| Last Modified: | 26 Feb 2019 11:37 |
| URI: | https://eprints.zu.edu.ua/id/eprint/28411 |
| ДСТУ 8302:2015: | Плакса С. А. and Грищук С. В. Schwartz-Type Boundary Value Problems for Monogenic Functions in a Biharmonic Algebra. Springer Nature Switzerland AG. 2019. |
Actions (login required)
- View Item