On a representation of a general solution of second order elliptic 2×2 - systems on the plane
Author(s):
A. P .Soldatov, Dr., Research institute of applied mathematics and automation of KBNTs RAS
, Nalchik, Russia,
soldatov48@gmail.comO.A. Tarsova, Research institute of applied mathematics and automation of KBNTs RAS
, Nalchik, Russia,
tarsova_ o@bsu.edu.ru Issue:
Volume 50, № 2
Rubric:
Mathematics
Annotation:
An elliptic second order system on the plane consisting of two equations with constant (and only leading) coefficients is considered. An explicit representation of a general solution of this system is given via the so-called J- analytic functions.
Keywords:
second-order elliptic systems, differential equations
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