Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
The centre-focus problem for analytical systems of Lienard form in degenerate case. (English)
Authors: Le Van Linh, A.P. Sadovskii.
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Abstract
For analytical systems of Lienard form in the case of zero eigenvalues of its linear part is obtained the algebraic criterion of the centre existence, which is analogous to the Cherkas's criterion for systems with imaginary eigenvalues of linear part. We give the solution of centre-focus problem for one class of cubic systems.A.P.Sadovskii
Belarussian State University
4 F.Skorina Avenue
220050, Minsk, Belarus
E-mail:
Belarussian State University
4 F.Skorina Avenue
220050, Minsk, Belarus
E-mail:
Fulltext
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Contents
- Academician C.S.Sibirsky as organizer and head of the Seminar on Qualitative Theory on Differential equations.
- On Strong Stability of Linear Poisson Actions. (English)
- Algebraic equations with invariant coefficients in qualitative study of the polynomial homogeneous differential systems. (English)
- Studying stability of the equilibrium solutions in the restricted Newton's problem of four bodies. (English)
- The centre-focus problem for analytical systems of Lienard form in degenerate case. (English)
- On initial value problem in theory of the second order differential equations. (English)
- About some equations of the third order with six poles. (English)
- On rational bases of GL(2,R)-comitants of planar polynomial systems of differential equations. (English)
- Ergodic sets and mixing extensions of topological transformation semigroups. (English)
- Linear singular perturbations of hyperbolic-parabolic type. (English)
- Numerical investigation of the process of detonation waves interaction with an elastoplastic target. (English)
- Mediateca for the scientists of Moldova: results and prospects. (English)
