Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Poisson stability of mappings with respect to a semigroup. (English)
Authors: Gerko A. I.
Abstract
Within the framework of some abstract semigroup dynamic systems of shifts with not necessary locally compact phase semigroups the theory of Poisson stability of mappings is developed. For the correspondences analogs of the theorems about inheritance by the solutions of a differential equation of properties of the right-hand side of the equation are proved. For the correspondences with memory an analog of the theorems about the existence of almost periodic solutions under perturbations of the right-hand side of the equation is proved.Universitatea de Stat din Moldova
str. Mateevici 60, Chişinău, MD-2009 Moldova
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str. Mateevici 60, Chişinău, MD-2009 Moldova
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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)
