Abstract
USING the methods of the theory of the angular potential the singular and Fredholm integral equations for the plane problem with an oblique derivative are derived and studied. The derivation of the Federation equations is based on a special representation of harmonic functions in terms of the angular potential. The so-called angular potential was introduced and studied in [1], and was then applied to the solution of boundary value problems with boundary conditions of the Cauchy-Riemann type and to the solution of the discontinuity of oblique derivatives with variable coefficients. The solution of these problems was obtained in closed form [1]. However, even before the appearance of [1], in which the theory of the angular potential in the classes C( k, Λ)(L) was given, in [2, 3] the potential considered was applied to the study of a problem with an oblique derivative with constant coefficients for harmonic functions, which enabled the solution of this problem to be reduced to the solution of well-known Fredholm equations. In the present paper the angular potential is used to reduce the general plane problem with an oblique derivative for harmonic functions to intergral equations.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: USSR Computational Mathematics and Mathematical Physics
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
