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- Title
Jacobi bracket, differential identities, and the inverse problem for kinetic equations.
- Authors
Neshchadim, M. V.
- Abstract
The article discusses the identity of Jacobi bracket, its differential identities, and its inverse problem for kinetic equations. It determines the natural constraints which show the definite sign of the corresponding quadratic form. It presents the existence theorem for a class of equations. It explains the validity of a theorem on a manifold with affine connection. It notes the application of the tensor rule of summation over the repeated indices. The equations and theorems proving the solution of the problem are also presented.
- Subjects
JACOBI identity; JACOBI sums; JACOBI'S condition; CALCULUS of variations; DIFFERENTIAL equations; INTEGRAL calculus; OPERATIONAL calculus; INTEGRAL theorems; MATHEMATICAL physics
- Publication
Doklady Mathematics, 2011, Vol 83, Issue 1, p41
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S106456241101011X