Biharmonic problem in an angle and monogenic functions
UDC 517.54, 517.95 We consider a piecewise continuous biharmonic problem in an angle and the corresponding Schwartz-type boundary-value problem for monogenic functions in a commutative biharmonic algebra.  These problems are reduced to a system of integral equations o...
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| Дата: | 2026 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2026
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/7292 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC 517.54, 517.95
We consider a piecewise continuous biharmonic problem in an angle and the corresponding Schwartz-type boundary-value problem for monogenic functions in a commutative biharmonic algebra.  These problems are reduced to a system of integral equations on the positive semiaxis.  It is shown that, on each segment of this semiaxis, the set of solutions of the system coincides with the set of solutions of a certain system of Fredholm integral equations. |
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| DOI: | 10.37863/umzh.v74i11.7292 |