FOR THE ZEROS OF THE SOLUTIONS OF THE ELEMENTARY VEKUA EQUATION

Authors

  • Slagjana Brsakoska Ss. Cyril and Methodius University in Skopje image/svg+xml Author
  • Borko Ilievski Ss. Cyril and Methodius University in Skopje image/svg+xml Author
  • Dragan Dimitrovski Ss. Cyril and Methodius University in Skopje image/svg+xml Author

Keywords:

Vekua equation, operator derivative, operator integral, zeros of a solution

Abstract

After the year of 2000 it is noticed a huge trend in the intensity of the papers which are dealing with valuation of the zeros of the complex differential equations, especially the equation of the ”complex oscillations”

\[
\frac{d^2W}{dz^2}+A(z)W=0,
\]

[1], [2].

For the Vekua type equations

\[
\frac{\hat{d}W}{d\bar{z}}
=
A(z,\bar{z})W
+
B(z,\bar{z})\overline{W}
+
F(z,\bar{z})
\]

which are similar to them, but in the space of two complex variables \(z,\bar{z}\) we have not noticed such trend in the study of the zeros of the solutions. In this paper we are giving theorems for existence of the zeros of the special Vekua equation:

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Published

2009-01-01

Issue

Vol. 33 (2009): 33 (LIX) (2009)

Section

Articles

How to Cite

[1]
S. Brsakoska, B. Ilievski, and D. Dimitrovski, “FOR THE ZEROS OF THE SOLUTIONS OF THE ELEMENTARY VEKUA EQUATION”, Mat. Bilt., vol. 33, no. 1, pp. 29–41, Jan. 2009, Accessed: Aug. 14, 2026. [Online]. Available: https://bilten.smm.org.mk/index.php/bilten/article/view/1750