Reduction of a Schwartz-type boundary value problem for biharmonic monogenic functions to Fredholm integral equations

We consider a commutative algebra 𝔹 over the field of complex numbers with a basis {e1, e2} satisfying the conditions (e12+e22)2=0,e12+e22≠0. $ (e_{1}^{2}+e_{2}^{2})^{2}=0, e_{1}^{2}+e_{2}^{2}\neq 0. $ Let D be a bounded simply-connected domain in ℝ2. We consider (1-4)-problem for monogenic 𝔹-valu...

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Bibliographic Details
Main Authors: Gryshchuk Serhii V., Plaksa Sergiy A.
Format: Article
Language:English
Published: De Gruyter 2017-04-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2017-0025