A uniqueness theorem for the non-Euclidean Darboux equation
- Authors: Volchkov V.V.1, Volchkov V.V.1
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Affiliations:
- Faculty of Mathematics and Information Technologies
- Issue: Vol 38, No 2 (2017)
- Pages: 379-385
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199140
- DOI: https://doi.org/10.1134/S1995080217020214
- ID: 199140
Cite item
Abstract
A non-Euclidean analog of the generalized Darboux equation is considered. For the case where its solutions are radial functions of second variable we obtain a uniqueness result (Theorem 1) which deals with zero sets of these solutions. The example of the function in Theorem 2 of the paper shows that Theorem 1 cannot be essentially reinforced.
About the authors
V. V. Volchkov
Faculty of Mathematics and Information Technologies
Author for correspondence.
Email: valeriyvolchkov@gmail.com
Ukraine, ul. Universitetskaya 24, Donetsk, 83001
Vit. V. Volchkov
Faculty of Mathematics and Information Technologies
Email: valeriyvolchkov@gmail.com
Ukraine, ul. Universitetskaya 24, Donetsk, 83001