Classes of Finite Solutions to the Inverse Problem of the Logarithmic Potential
- Authors: Abubakirov N.R.1, Aksentev L.A.1
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Affiliations:
- N. I. Lobachevskii Institute of Mathematics and Mechanics
- Issue: Vol 39, No 2 (2018)
- Pages: 151-160
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/201278
- DOI: https://doi.org/10.1134/S1995080218020026
- ID: 201278
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Abstract
We obtain a new class of solutions to the inverse problems of the logarithmic potential in the form of a logarithmic function of a ratio of polynomials of the same degree. We give examples of finite solvability of the inverse problems.
Keywords
About the authors
N. R. Abubakirov
N. I. Lobachevskii Institute of Mathematics and Mechanics
Author for correspondence.
Email: abunail@mail.ru
Russian Federation, Kremlevskaya ul. 18, Kazan, Tatarstan, 420008
L. A. Aksentev
N. I. Lobachevskii Institute of Mathematics and Mechanics
Email: abunail@mail.ru
Russian Federation, Kremlevskaya ul. 18, Kazan, Tatarstan, 420008