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The differential operators and multiplicity of singular points for polynomial differential system. (English)
Authors: Baltag Valeriu, Vulpe Nicolae
Abstract
Differential operators acting in initial system coefficient space are constructed for two-dimensional autonomous polynomial systems of differential equations. Using them coefficient conditions for the sum of the multiplicities of all the finite singular points as well as for the multiplicity of singular point (0,0) are found.Academy of Science of Moldova
Academiei str. 5, Chisinau, MD-2028 Moldova
E-mail: p% email('15vulpe@mathem.moldova.su') %]
Academiei str. 5, Chisinau, MD-2028 Moldova
E-mail: p% email('15vulpe@mathem.moldova.su') %]
Contents
- Konstantin Sergeevich Sibirsky (1928 - 1990). A tribute in honor of his 70th birthday.
- Hilbert's series for comitants graded algebras of differential equations. (English)
- Smooth linearization near a three-dimensional saddle. (English)
- Recurrent functions and recurrent solutions of differential equations. (Russian)
- Lyapunov functions for cocycle attractors in nonautonomous difference equations. (English)
- Attractors for stochastic differential equations with nontrivial noise. (English)
- On the law of transformation of affine connection and its integration. Part 1. Generalization of the Lame equations. (English)
- Types of the critical points for quadratic system with a center of symmetry. (English)
- The differential operators and multiplicity of singular points for polynomial differential system. (English)
- Poisson stability of mappings with respect to a semigroup. (English)
- On partial recurrent solutions of completely integrable systems. (English)
- Coefficient conditions for the repartition of multiplicity between 2 real double infinite singular points of cubic differential system. (English)
- $L_p$-theory of generalized solutions of model boundary value problems for parabolic equations. (English)
- Local phase portraits of two-dimensional analytical systems principal parts of which do not contain parameters. (English)
