# Zero sets of solutions of the hyperbolic Darboux equation

Authors:
Волчков В. В., Волчков Вит. В. Zero sets of solutions of the hyperbolic Darboux equation // Taurida Journal of Computer Science Theory and Mathematics, – 2016. – T.15. – №2. – P. 7-
https://doi.org/10.37279/1729-3901-2016-15-2-7-17

Zero sets of solutions of the hyperbolic Darboux equation Volchkov V. V. and Volchkov Vit. V.
A hyperbolic analog of the generalized Darboux equation is considered. We investigate the structure of zero sets of its solutions for the case where the solution is a radial function of second variable. We show that every solution vanishing on some annulus must be zero in some other annulus containing the first one.

Keywords: Darboux equation, hyperbolic plane, zero sets, uniqueness theorems, transmutation maps.

UDC:
44A35, 44A12