Cover Image

On the existence of Lyapunov functions in problems of stability of integral sets

Розглянуто неавтономну систему звичайних диференціальних рівнянь. Доведено, що якщо ця система припускає рівномірно асимптотично стійку інтегральну множину, то в околі цієї множини існує функція, яка аналогічна функції Ляпунова....

Full description

Saved in:

Bibliographic Details
Date:	1993
Main Authors:	Ignat'ev, A. O., Игнатьев, А. О.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1993
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5886
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

Asymptotic stability of integral sets
by: Ignat'ev, A. O., et al.
Published: (1996)

Equiasymptotic stability of integral sets
by: Ignat'ev, A. O., et al.
Published: (1995)

On the existence of a lyapunov function as a quadratic form for impulsive systems of linear differential equations
by: Ignat'ev, A. O., et al.
Published: (2010)

Application of the direct Lyapunov’s method to the investigation of integral sets
by: Ignatyev, A. O., et al.
Published: (1992)

On equiasymptotic stability of solutions of doubly-periodic impulsive systems
by: Ignat'ev, A. O., et al.
Published: (2008)

On the stability of invariant sets of a system of autonomous differential equations under constantly acting perturbations
by: Ignat'ev, A. O., et al.
Published: (1999)

Bounds for the Periods of Periodic Solutions of Ordinary Differential Equations
by: Ignat'ev, A. O., et al.
Published: (2015)

On Necessary and Sufficient Conditions for the Asymptotic Stability of Impulsive Systems
by: Ignat'ev, A. O., et al.
Published: (2003)

On the solution of the problem of stochastic stability of the integral manifold by the Lyapunov’s second method
by: Vasilina, G. K., et al.
Published: (2016)

Investigation of invariant sets with random perturbations with the use of the Lyapunov function
by: Stanzhitskii, A. N., et al.
Published: (1998)

Green-Samoilenko function and existence of integral sets of linear extensions of nonautonomous equations
by: Asrorov, F. A., et al.
Published: (1994)

Investigation of Invariant Sets of Itô Stochastic Systems with the Use of Lyapunov Functions
by: Stanzhitskii, A. N., et al.
Published: (2001)

Concerning existence of the Lyapunov sign-variable functions for linear systems of differential equations
by: Samoilenko , A. M., et al.
Published: (1992)

On the solution of the problem of stochastic stability of the integral manifold by the Lyapunov&#039;s second method
by: G. K. Vasilina, et al.
Published: (2016)

Sets of linear expansions of dynamical systems on a torus for a fixed Lyapunov function
by: Astaf’eva, M. M., et al.
Published: (2007)

The existence of Lyapunov–Krasovskii functionals for stochastic differential-functional Ito–Skorokhod equations under the condition of the solutions stability on probability with finite aftereffect
by: I. V. Jurchenko, et al.
Published: (2018)

On Stability in Models of Mathematical Epidemiology Based on Lyapunov-Volterra Function
by: O. M. Kuchvara
Published: (2014)

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

On the mappings preserving the Lyapunov stability of Takagi–Sugeno fuzzy systems
by: Denisenko, V. S., et al.
Published: (2009)

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)

Quantization of Lyapunov functions
by: Sharko, Yu. V., et al.
Published: (2010)

Connected Stability Analysis of Delay Systems via the Matrix-Valued Lyapunov Function
by: Zh. F. San, et al.
Published: (2013)

Connected Stability Analysis of Delay Systems via the Matrix-Valued Lyapunov Function
by: Sun, J.F., et al.
Published: (2013)

Lyapunov transformation and stability of differential equations in Banach spaces
by: Tran Thi Loan
Published: (1999)

Lyapunov transformation and stability of differential equations in banach spaces
by: Tran, Thi Loan, et al.
Published: (1999)

Lyapunov functions in the global analysis of chaotic systems
by: Leonov, G. A., et al.
Published: (2018)

On the existence of the Stieltjes integral for functions of bounded variation
by: Karataeva, T. V., et al.
Published: (1995)

Certain problems of existence of invariant toroidal sets in the systems of difference equations
by: Pankov , V. G., et al.
Published: (1988)

On Estimate of Lyapunov Function and Stability of Motion of System with Asymptotic Expansion of Right-Hand Side of Equations of Perturbed Motion
by: A. A. Martyniuk, et al.
Published: (2021)

Lyapunov functions in the global analysis of chaotic systems
by: G. A. Leonov
Published: (2018)

Stability analysis of a predator-prey model with piecewise consnant argument of generalized type using Lyapunov functions
by: D. Aruğaslan, et al.
Published: (2013)

Stability analysis of a predator-prey model with piecewise constant argument of generalized type using Lyapunov functions
by: Aruğaslan, D., et al.
Published: (2013)

Stability of Solutions of a Quasilinear Index-2 Tractable Differential Algebraic Equation by the Lyapunov Second Method
by: Vu, Tuan, et al.
Published: (2004)

Stochastic Lyapunov Functions for a System of Nonlinear Difference Equations
by: Dzhalladova, I. A., et al.
Published: (2002)

On the Optimal Recovery of Integrals of Set-Valued Functions
by: V. F. Babenko, et al.
Published: (2015)

On the Optimal Recovery of Integrals of Set-Valued Functions
by: Babenko, V.F., et al.
Published: (2015)

On the Optimal Recovery of Integrals of Set-Valued Functions
by: Babenko, V. F., et al.
Published: (2015)

Boundary-value problems for the Lyapunov equation. І
by: O. Boichuk, et al.
Published: (2024)

Construction of pursuit strategies with using Lyapunov functions
by: S. V. Pashko
Published: (2017)

О существовании функций Ляпунова в задачах устойчивости интегральных множеств
by: Игнатьев, А.О.
Published: (1993)