Cover Image

On sufficient conditions for the existence of bounded solutions of inhomogeneous linear extensions of dynamical systems

We study sufficient conditions for the existence of bounded solutions of linear extensions of the dynamical systems.

Saved in:

Bibliographic Details
Date:	2010
Main Authors:	Grechko, A. L., Гречко, А. Л.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2010
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2891
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

On the smoothness of bounded invariant manifolds of linear inhomogeneous extensions of dynamical systems
by: Hrod, I. M., et al.
Published: (1996)

On some qualitative properties of monotone linear extensions of dynamical systems
by: Grechko, A. L., et al.
Published: (2011)

On necessary conditions for the weak regularity of a linear extension of a dynamical system on a torus
by: Grechko, A. L., et al.
Published: (1998)

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

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)

Sufficient conditions for bounded turning of analytic functions
by: N. Tuneski, et al.
Published: (2018)

Sufficient conditions for bounded turning of analytic functions
by: Bulboacă, T., et al.
Published: (2018)

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)

Bounded solutions of a system of linear inhomogeneous differential equations of the first order with rectangular matrices
by: A. A. Bojchuk, et al.
Published: (2020)

Bounded solutions of a system of linear inhomogeneous differential equations of the first order with rectangular matrices
by: Boichuk, A. A., et al.
Published: (2020)

Regular linear extensions of dynamical systems on a torus
by: Kulik, V. L., et al.
Published: (1993)

Conditions for the existence and uniqueness of bounded solutions of nonlinear differential equations
by: Slyusarchuk, V. Yu., et al.
Published: (2009)

Conditions for the existence of bounded solutions of nonlinear differential and functional differential equations
by: Slyusarchuk, V. Yu., et al.
Published: (2010)

Conditions for the existence of bounded solutions of one class of nonlinear differential equations
by: Hrod, I. M., et al.
Published: (2006)

Conditions for the Existence of Solutions of a Periodic Boundary-Value Problem for an Inhomogeneous Linear Hyperbolic Equation of the Second Order. I
by: Mitropolskiy, Yu. A., et al.
Published: (2005)

Conditions of existence of bounded and almost periodic solutions of nonlinear differential equation with perturbations of solutions
by: Yu. Sliusarchuk
Published: (2016)

Conditions of existence of bounded and almost periodic solutions of nonlinear differential equation with perturbations of solutions
by: Slyusarchuk, V. Yu., et al.
Published: (2016)

Separation of variables in linear extensions of dynamical systems on tori
by: Burilko, O. A., et al.
Published: (1996)

On equicontinuous factors of linear extensions of minimal dynamical systems
by: Glavan, V. A., et al.
Published: (1993)

On local perturbations of linear extensions of dynamical systems on a torus
by: Hrod, I. M., et al.
Published: (2000)

On linear systems with quasiperiodic coefficients and bounded solutions
by: Tkachenko, V. I., et al.
Published: (1996)

Conditions for exponential stability and dichotomy of pulse linear extensions of dynamical systems on a torus
by: Ali, N. A., et al.
Published: (1998)

Comparison theorems and necessary/sufficient conditions for existence of nonoscillatory solutions of forced impulsive delay differential equations
by: Cheng, Sui Sun, et al.
Published: (2012)

Comparison theorems and necessary/sufficient conditions for the existence of nonoscillatory solutions of forced impulsive differential equations with delay
by: Shao Yuan Huang, et al.
Published: (2012)

Necessary and sufficient condition for the existence of the one-point time on an oriented set
by: Ya. I. Hrushka
Published: (2019)

Sufficient conditions for the existence of the -density for zeros of entire function of order zero
by: M. V. Zabolotskyi, et al.
Published: (2016)

Conditions of existence of bounded solutions of differential equation in Banach space on the real axis
by: V. M. Horbachuk
Published: (2016)

On some classes of regular linear extensions of dynamical systems on a torus
by: Kulik, V. L., et al.
Published: (1994)

Conditions for the existence of basic solutions of linear multivalued differential equations
by: T. O. Komlieva, et al.
Published: (2021)

Conditions for the existence of basic solutions of linear multivalued differential equations
by: Komleva, T. A., et al.
Published: (2021)

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

The sufficient conditions of firmness in mean square for solutions of diffusion dynamic system of automatic regulation with external perturbations
by: Ya. Dovhun, et al.
Published: (2016)

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

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

Sufficient conditions for the existence of the $\upsilon$ -density for zeros of entire function of order zero
by: Zabolotskii, N. V., et al.
Published: (2016)

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

Alternating Lyapunov functions in the theory of linear extensions of dynamical systems on a torus
by: Kulik, V. L., et al.
Published: (2007)

Sufficient conditions of approach in nonstationary dynamic game problems
by: Al. A. Chikrij
Published: (2015)

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

Solutions of Weakly-Perturbed Linear Systems Bounded on the Entire Axis
by: Boichuk, А. A., et al.
Published: (2002)