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EIGENVALUE PROBLEM FOR THE LAPLACE OPERATOR WITH DISPLACEMENT IN DERIVATIVES
- Authors: Gerasimov A.1, Loginov B.2, Yuldashev N.3
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Affiliations:
- Mordovia State University
- Ulyanovsk State Technical University
- Tashkent Institute of Textile and Light Industry
- Issue: Vol 20, No 3 (2014)
- Pages: 41-45
- Section: Articles
- URL: https://journals.ssau.ru/est/article/view/4556
- DOI: https://doi.org/10.18287/2541-7525-2014-20-3-41-45
- ID: 4556
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Abstract
The statement of the problem on the determination of eigen-and adjointfunctions for Laplace operator in s-dimensional unit ball with displacement in derivatives is given. For s =2 the conditions are obtained for the existence of adjoint functions of the not higher than three order and their computation is made. The case of arbitrary s is the subject of future work.
About the authors
A.V. Gerasimov
Mordovia State University
Author for correspondence.
Email: morenov.sv@ssau.ru
B.V. Loginov
Ulyanovsk State Technical University
Email: morenov.sv@ssau.ru
N.N. Yuldashev
Tashkent Institute of Textile and Light Industry
Email: morenov.sv@ssau.ru
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