Differential Equations

, Volume 51, Issue 5, pp 645–651 | Cite as

Boundary value problems for a model system of first-order equations in three-dimensional space

  • Bato B. OshorovEmail author
  • Bator B. Oshorov
Partial Differential Equations


We consider an example of a three-dimensional analog of the generalized Cauchy–Riemann system. For this system, we give statements of boundary value problems that are threedimensional analogs of the Riemann–Hilbert problem with discontinuous boundary conditions for analytic functions of the complex variable. We prove the unique generalized solvability of these problems.


Vector Function Hilbert Problem Analytic Quaternion Local Boundary Condition Quaternion Space 
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© Pleiades Publishing, Ltd. 2015

Authors and Affiliations

  1. 1.East Siberia State University of Technology and ManagementUlan-UdeRussia

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