Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Conditions of presence of four integral straight lines for a cubic differential system in the case of a center or focus. (Russian)
Authors: Kozima D. V., Shubeh A. S.
Abstract
It is showen that the cubic system of differential equations $\dot x=y+P_2+ P_3$, \ $\dot y=-x+Q_2+Q_3 $ cannot have more than four integral straight lines. Conditions are found, under which the given system has exactly four such lines. It is supposed that at least one of these four integral straight lines is parallel to the axis Oy.Universitatea de Stat din Moldova
str. Mateevici 60, Chişinău MD-2014, Moldova
str. Mateevici 60, Chişinău MD-2014, Moldova
Contents
- The problem of determination of multiregular tilings of space. (Russian)
- Isogonal strata tessellations of the Lobachevsky space. (Russian)
- Totally symmetric $n$-ary loops. (Russian)
- Conditions of completeness in a family of extensions of a duality-intuitionistic logic. (Russian)
- Analysis of the condition ${\germ A}(k)$ for four-dimensional systems of differential equations. II. (Russian)
- Solvability of linear parabolic boundary value problems in anisotropic spaces ${\cal H}\sb p\sp s, (s\in R)$ of Bessel potentials. (Russian)
- The uniform estimates for solutions of nonstrictly hyperbolic equation of second order with large parameter. (English)
- Conditions of presence of four integral straight lines for a cubic differential system in the case of a center or focus. (Russian)
- Numerical investigation of the process of dynamic action on a layered obstacle. (Russian)
- Impact of a viscoelastic rod upon a heated obstacle. (Russian)
- Exact shifts of the constraints in methods of centres. (English)
- Impact of an elastic rod of a finite length upon a compliant obstacle. I. (Russian)
- Some results for a priority discipline DD with non-zero switching. (English)
- Multiplicative system of functions corresponding to the group $C\sb 2 \times \Gamma$. (English)
