Cover Image

Global solutions and invariant tori of difference-differential equations

We prove the existence of an m-parameter family of global solutions of a system of difference-differential equations. For difference-differential equations on a torus, we introduce the notion of rotation number. We also consider the problem of perturbation of an invariant torus of a system of differ...

Full description

Saved in:

Bibliographic Details
Date:	1997
Main Authors:	Belan, E. P., Белан, Е. П.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1997
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4983
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 Fréchet Differentiability of Invariant Tori of Countable Systems of Difference Equations Defined on Infinite-Dimensional Tori
by: Marchuk, N. A., et al.
Published: (2003)

On invariant tori of countable systems of differential equations with delay
by: Elnazarov, A. A., et al.
Published: (1999)

Invariant tori of differential equations in a Banach space
by: Ilolov, M., et al.
Published: (1998)

On the invariant tori of quasilinear countable systems of differential equations defined on infinite-dimensional tori
by: Yu. V. Teplinskyi
Published: (2020)

On Invariant Tori of Itô Stochastic Systems
by: Samoilenko, A. M., et al.
Published: (2002)

On invariant tori of stochastic systems on a plane
by: Kopas', I. N., et al.
Published: (1996)

Lipschitzian invariant tori of indefinite monotone system
by: Lagoda, V. A., et al.
Published: (2012)

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

Invariant tori of linear countable systems of discrete equations given on an infinite-dimensional torus
by: Samoilenko, A. M., et al.
Published: (1998)

Perturbations of degenerate coisotropic invariant tori of Hamiltonian systems
by: Parasyuk, I. O., et al.
Published: (1998)

Dynamics of periodic modes for the phenomenological equation of spin combustion
by: Belan, E. P., et al.
Published: (2013)

Theorem on the central manifold of a nonlinear parabolic equation
by: Belan, E. P., et al.
Published: (1996)

On some problems in perturbation theory of smooth invariant tori of dynamical systems
by: Samoilenko, A. M., et al.
Published: (1994)

Invariant tori of locally Hamiltonian systems close to conditionally integrable systems
by: Loveikin, Yu. V., et al.
Published: (2007)

Geometry of Invariant Tori of Certain Integrable Systems with Symmetry and an Application to a Nonholonomic System
by: Fassò, F., et al.
Published: (2007)

Reduction and coisotropic invariant tori of Hamiltonian systems with non-poisson commutative symmetries. I
by: Parasyuk, I. O., et al.
Published: (1994)

Reduction and coisotropic invariant tori of Hamiltonian systems with non-poisson commutative symmetries. II
by: Parasyuk, I. O., et al.
Published: (1994)

Categorical Tori
by: Ganter, N.
Published: (2018)

On invariant sets of differential equations with impulses
by: Tkachenko, V. I.
Published: (1999)

Existence of local and global solutions of fractional order differential equations
by: Muslim, M., et al.
Published: (2011)

Smoothness of generalized solutions of the third boundary-value problem for an elliptic differential-difference equation
by: Tsvetkov, E. L., et al.
Published: (1993)

On regularity of generalized solutions of the third boundary-value problem for an elliptic difference-differential equation
by: Tsvetkov, E. L., et al.
Published: (1995)

Hyperbolic invariant tori of a fast-slow system exhibiting the dynamical bifurcation of multifrequency oscillations
by: I. O. Parasiuk, et al.
Published: (2016)

Глобальные решения и инвариантные торы дифференциально-разностных уравнений
by: Белан, Е.П.
Published: (1997)

Оптическая буферность стационарных структур
by: Белан, Е.П.
Published: (2008)

Динамика диссипативных структур в параболической задаче с преобразованием отражения пространственной переменной
by: Белан, Е.П.
Published: (2010)

Двумерные стационарные структуры в параболическом уравнении с отражением пространственных переменных
by: Белан, Е.П.
Published: (2011)

Теорема о центральном многообразии нелинейного параболического уравнения
by: Белан, Е.П.
Published: (1996)

Динамика стационарных структур в параболической задаче с отражением пространственной переменной
by: Белан, Е.П.
Published: (2010)

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

Algebras of Functionally Invariant Solutions of the Three-Dimensional Laplace Equation
by: Mel'nichenko, I. P., et al.
Published: (2003)

Essentially unstable solutions of difference equations
by: Slyusarchuk, V. E., et al.
Published: (1999)

Invariance of solutions of the set of regularized equations
by: A. A. Martynjuk
Published: (2017)

On the Relationship between Properties of Solutions of Difference Equations and the Corresponding Differential Equations
by: Stanzhitskii, A. N., et al.
Published: (2005)

On Global Solutions of Systems of Nonlinear Functional Differential Equations with Deviating Argument Dependent on Unknown Functions
by: Pelyukh, G. P., et al.
Published: (2002)

Nonlinear difference equations with asymptotically stable solutions
by: Slyusarchuk, V. E., et al.
Published: (1997)

Global analyticity of solutions of nonlinear functional differential equations representable by Dirichlet series
by: Murovtsev, A. N., et al.
Published: (2006)

On One Problem of the Investigation of Global Solutions of Linear Differential Equations with Deviating Argument
by: Samoilenko, A. M., et al.
Published: (2003)

On invariant torus of weakly connected systems of differential equations
by: Elnazarov, A.
Published: (2005)

Solutions of systems of nonlinear difference-differential equations of neutral type asymptotically bounded in the entire axis
by: Pelyukh, G. P., et al.
Published: (1994)