Schwartz-Type Boundary Value Problems for Monogenic Functions in a Biharmonic Algebra
Zhytomyr State University Library
Переглянути архів Інформація| Поле | Співвідношення | |
| Relation |
http://eprints.zu.edu.ua/28411/
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| Title |
Schwartz-Type Boundary Value Problems for Monogenic Functions in a Biharmonic Algebra
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| Creator |
Плакса, С. А.
Грищук, С. В. |
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| Subject |
Mathematical Analysis
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| Description |
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. |
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| Date |
2019
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| Type |
Article
PeerReviewed |
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| Format |
text
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| Language |
uk
english |
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| Identifier |
http://eprints.zu.edu.ua/28411/1/463690_1_En_10%20%282%29.pdf
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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