Solving the Dirichlet problem for the Lamé system by the hypercomplex method

UDC 517.54, 517.95 A hypercomplex method for solving the Dirichlet problem for the Lamé system in a bounded simply connected domain is developed, which is based on representing solutions via components of a monogenic function in a commutative biharmonic algebra. The Dirichlet problem is reduced to a...

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Datum:2026
Hauptverfasser: Gryshchuk, S., Plaksa, S., Грищук, Сергій, Плакса, Сергій
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2026
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/9824
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal

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Ukrains’kyi Matematychnyi Zhurnal