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- Title
Method of solving the generalized problem on eigenvalues of multi-dimensional circuits, II.
- Authors
Mylnikov, A.; Prangishvili, A.
- Abstract
This work is devoted to the development and substantiation of a new tensor-geometric theory of large-dimensional electric circuits. Also, a new method is proposed for solving the complete problem on their eigenvalues. Electric circuits exemplify oscillatory systems with concentrated parameters. The problem on their eigenvalues and eigenvectors is, on the one hand, one of the most important problems of mathematical physics and oscillation theory, and, on the other hand, is universal since it has many different applications.
- Subjects
EIGENVALUES; DIMENSIONAL analysis; TENSOR products; ALGEBRAIC geometry; MATHEMATICAL physics; OSCILLATION theory of differential equations
- Publication
Journal of Mathematical Sciences, 2012, Vol 186, Issue 5, p795
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-012-1035-5