Riemann boundary-value problem with an oscillating coefficient and singular integral equations on a rectifiable curve

1989 ◽  
Vol 41 (1) ◽  
pp. 107-112 ◽  
Author(s):  
S. A. Plaksa
Keyword(s):  
Boundary Value Problem ◽  
Integral Equations ◽  
Singular Integral ◽  
Boundary Value ◽  
Singular Integral Equations ◽  
Riemann Boundary Value Problem ◽  
Riemann Boundary ◽  
Rectifiable Curve ◽  
Oscillating Coefficient

scholarly journals Riemann boundary value problem for hyperanalytic functions

2005 ◽  
Vol 2005 (17) ◽  
pp. 2821-2840 ◽  
Author(s):  
Ricardo Abreu Blaya ◽  
Juan Bory Reyes ◽  
Dixan Peña Peña
Keyword(s):  
General Solution ◽  
Boundary Value Problem ◽  
Singular Integral ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Singular Integral Equations ◽  
Cauchy Kernel ◽  
Riemann Boundary Value Problem ◽  
Riemann Boundary ◽  
Necessary And Sufficient

We deal with Riemann boundary value problem for hyperanalytic functions. Furthermore, necessary and sufficient conditions for solvability of the problem are derived. At the end the explicit form of general solution for singular integral equations with a hypercomplex Cauchy kernel in the Douglis sense is established.

Sign in / Sign up

Export Citation Format

Share Document