Cover Image

Green-Samoilenko function and existence of integral sets of linear extensions of nonautonomous equations

An integral invariant set is constructed for systems of differential equations by using the Green-Samoilenko function. The problem of asymptotic stability of this set is studied.

Saved in:

Bibliographic Details
Date:	1994
Main Authors:	Asrorov, F. A., Perestyuk, N. A., Асроров, Ф. А., Перестюк, Н. А.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1994
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5659
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Green–Samoilenko operator in the theory of invariant sets of nonlinear differential equations
by: Perestyuk, N. A., et al.
Published: (2009)

Green – Samoilenko function of linear extensions of dynamical systems on a torus
by: V. L. Kulyk, et al.
Published: (2020)

Linear extensions of dynamical systems on a torus that possess Green-Samoilenko functions
by: Wojtowicz, B., et al.
Published: (1998)

Функция Грина - Самойленко и существование интегральных множеств линейных расширений неавтономных уравнений
by: Асроров, Ф.А., et al.
Published: (1994)

Application of the Green–Samoilenko function and operator to the study of non-Lipschitz differential equations
by: Perestyuk , M. O., et al.
Published: (2021)

A Condition for the Existence of a Unique Green–Samoilenko Function for the Problem of Invariant Torus
by: Boichuk, О. A., et al.
Published: (2001)

On the Existence of a Unique Green Function for the Linear Extension of a Dynamical System on a Torus
by: Samoilenko, A. M., et al.
Published: (2001)

Integral sets of systems of difference equations
by: Gulov, Kh. M., et al.
Published: (1993)

Integral sets of quasilinear pulse systems
by: Akhmetov , M. U., et al.
Published: (1992)

Про експоненцiйну стiйкiсть тривiального тору одного класу нелiнiйних iмпульсних систем
by: Капустян, О.В., et al.
Published: (2017)

Integral sets of one class of breaking dynamic systems
by: Vyshenskaya , О. V., et al.
Published: (1992)

Once again on the Samoilenko numerical-analytic method of successive periodic approximations
by: Korol', I. I., et al.
Published: (2006)

On Stability of Integral Sets of Impulsive Differential Systems
by: Perestyuk, N. A., et al.
Published: (2002)

Averaging of set-valued impulsive systems
by: Perestyuk, N. A., et al.
Published: (2013)

On the existence of Lyapunov functions in problems of stability of integral sets
by: Ignat'ev, A. O., et al.
Published: (1993)

A criterion for the existence of the unique invariant torus of a linear extension of dynamical systems
by: Boichuk, О. A., et al.
Published: (2007)

On sufficient conditions for the existence of bounded solutions of inhomogeneous linear extensions of dynamical systems
by: Grechko, A. L., et al.
Published: (2010)

Relationship Between the Green and Lyapunov Functions in Linear Extensions of Dynamical Systems
by: I. M. Hrod, et al.
Published: (2014)

Relationship Between the Green and Lyapunov Functions in Linear Extensions of Dynamical Systems
by: Hrod, I. M., et al.
Published: (2014)

On the Existence of Periodic Solutions for Certain Classes of Systems of Differential Equations with Random Pulse Influence
by: Perestyuk, N. A., et al.
Published: (2001)

Invariant tori of linear extensions which do not have Green's functions
by: Pyatetskaya, E. V., et al.
Published: (1993)

Application of the Green–Samoilenko function and operator to the study of non-Lipschitz differential equations
by: M. O. Perestiuk, et al.
Published: (2021)

Conditions for the Existence of Nonoscillating Solutions of Nonlinear Differential Equations with Delay and Pulse Influence in a Banach Space
by: Perestyuk, N. A., et al.
Published: (2003)

Existence of an invariant torus for a degenerate linear extension of a dynamical system
by: Yu. Yu. Korol
Published: (2016)

Conditions for the existence of solutions of real nonautonomous systems of quasilinear differential equations vanishing at a singular point
by: Evtukhov, V. M., et al.
Published: (2010)

Anatolii Mykhailovych Samoilenko
by: Editorial board, ., et al.
Published: (2020)

On invariance of some properties of solutions under perturbation of a pulse system of differential equations
by: Perestyuk, N. A., et al.
Published: (1994)

The structure of linear extensions with the Favard type conditions II. Linear extensions with the additivity property of recurrent motions
by: Glavan, V. A., et al.
Published: (1993)

On some properties of the set of Lyapunov 's functions in the theory of linear extensions of dynamical systems on the torus
by: Stepanenko, N.V.
Published: (2001)

On the Stability of Invariant Sets of Discontinuous Dynamical Systems
by: Perestyuk, N. A., et al.
Published: (2001)

Anatolii Mykhailovych Samoilenko (on his 75th birthday)
by: Berezansky, Yu. M., et al.
Published: (2013)

Anatolii Mikhailovich Samoilenko (on his 60th birthday)
by: Berezansky, Yu. M., et al.
Published: (1998)

Periodic solutions of quasi-linear impulse systems in a critical case
by: Akhmetov , M. U., et al.
Published: (2025)

Anatolii Mykhailovych Samoilenko (on his 80th birthday)
by: Antoniouk, A. Vict., et al.
Published: (2018)

On the existence of discontinuous limit cycles for one system of differential equations with pulse influence
by: Gorbachuk, T. V., et al.
Published: (1997)

Dissipative Extensions of Linear Relations Generated by Integral Equations with Operator Measures
by: V. M. Bruk
Published: (2020)

Formal Integrability for the Nonautonomous Case of the Inverse Problem of the Calculus of Variations
by: Constantinescu, O.
Published: (2012)

Control over linear pulse systems
by: Akhmetov, M. U., et al.
Published: (1995)

Mel’nikov-Samoilenko adiabatic stability problem
by: Prykarpatsky, Ya. A., et al.
Published: (2006)

Estimation of solutions of nonautonomous systems
by: Puzyrev, V. E., et al.
Published: (1995)