scholarly journals ABOUT A TWIN SOLUTION OF THE VEKUA EQUATION

2016 ◽  
pp. 23-27
Author(s):  
Slagjana Brsakoska
Keyword(s):  
Vekua Equation

scholarly journals Hilbert transform for the three-dimensional Vekua equation

2018 ◽  
Vol 64 (11) ◽  
pp. 1797-1824 ◽  
Author(s):  
Briceyda B. Delgado ◽  
R. Michael Porter
Keyword(s):  
Hilbert Transform ◽  
Three Dimensional ◽  
Vekua Equation

scholarly journals On inversion in the case of the fundamentally finite integrable Vekua complex differential equation

2020 ◽  
Vol 108 (122) ◽  
pp. 13-22
Author(s):  
Milos Canak ◽  
Miloljub Albijanic
Keyword(s):  
Differential Equation ◽  
Fixed Point ◽  
General Solution ◽  
Boundary Value Problems ◽  
Imaginary Part ◽  
Boundary Value ◽  
The Real ◽  
Complex Differential Equation ◽  
The Core ◽  
Vekua Equation

The class of so called fundamentally finite integrable Vekua CDE is defined using the fixed point of the inversion and where one solution is equal to the coefficient of the equation. Then the different manifestations of inversion in relation to the general solution, an arbitrary analytical function inside and the core of the coefficient are examined. It shows that all the major problems of the Vekua equation theories, including boundary value problems can be interpreted and solved using the principle of inversion. The main significance of the fundamentally finite integrable Vekua equation is that the real and imaginary part of the solution can be separated, which in many mechanical and technique problems have certain physical meanings.

scholarly journals The Bergman kernel for the Vekua equation

2020 ◽  
Vol 43 (16) ◽  
pp. 9448-9454
Author(s):  
Hugo M. Campos ◽  
Vladislav V. Kravchenko
Keyword(s):  
Bergman Kernel ◽  
Vekua Equation
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