Cover Image

Bounded solutions of a difference equation in Banach space with input data in subspaces

UDC 517.929.2 We study the problem of existence and uniqueness of a bounded solution to a difference equation of the first order with a constant operator coefficient in a Banach space. For the case where the initial condition and input sequence are in some subspaces, necessary and sufficient conditi...

Full description

Saved in:

Bibliographic Details
Date:	2021
Main Authors:	Chaikovs'kyi, A. V., Lagoda , O. A., ., Чайковський , А. В., Лагода , О. А.
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2021
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/6692
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

Bounded solutions of a difference equation in Banach space with input data in subspaces
by: A. V. Chaikovskyi, et al.
Published: (2021)

On Bounded Solutions of Some Classes of Two-Parameter Difference Equations in a Banach Space
by: Gorodnii, M. F., et al.
Published: (2000)

Investigation of One Linear Differential Equation by Using Generalized Functions with Values in a Banach Space
by: Chaikovs'kyi, A. V., et al.
Published: (2001)

Existence of bounded solutions of nonlinear difference equations in a Banach space
by: I. M. Hrod
Published: (2013)

On exponential dichotomy for abstract differential equations with delayed argument
by: Chaikovs'kyi, A., et al.
Published: (2023)

Bounded solutions of difference equations in a Banach space with asymptotically constant operator coefficient
by: A. V. Chaikovskyi, et al.
Published: (2021)

Bounded Solutions for Some Classes of Difference Equations with Operator Coefficients
by: Gorodnii, M. F., et al.
Published: (2001)

Cauchy problem for a differential equation in the Banach space with generalized strongly positive operator coefficient
by: Il'chenko, Yu. V., et al.
Published: (2011)

Functions of shift operator and their applications to difference equations
by: Chaikovs'kyi, A. V., et al.
Published: (2010)

On solutions defined on an axis for differential equations with shifts of the argument
by: Chaikovs'kyi, A. V., et al.
Published: (2011)

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

Stability of Bounded Solutions of Differential Equations with Small Parameter in a Banach Space
by: Gorodnii, M. F., et al.
Published: (2003)

On the approximation of a bounded solution of a linear differential equation in a Banach space
by: Gorodnii, M. F., et al.
Published: (1998)

$l_p$-Solutions of One Difference Equation in a Banach Space
by: Gorodnii, M. F., et al.
Published: (2003)

Approximation of a bounded solution of a linear difference equation on Z2 by solutions of corresponding boundary-value problems in a Banach space
by: Gorodnii, M. F., et al.
Published: (1995)

Entire solutions of one linear implicit differential-difference equation in Banach spaces
by: Gefter, S. L., et al.
Published: (2018)

Isometry of the subspaces of solutions of systems of differential equations to the spaces of real functions
by: F. H. Abdullaiev, et al.
Published: (2019)

Entire solutions of one linear implicit differential-difference equation in Banach spaces
by: S. L. Hefter, et al.
Published: (2018)

On the Denseness of Subspaces of Analytic Vectors of a Closed Linear Operator in a Banach Space
by: Mokrousov, Yu. G., et al.
Published: (2000)

On weak compactness of bounded sets in Banach and locally convex spaces
by: Kogut, P. I., et al.
Published: (2000)

Solutions bounded on Z of one difference equation
by: M. F. Horodnii
Published: (2021)

On the concept of generalized solution of operator equations in banach spaces
by: Petunin, Yu. I., et al.
Published: (1996)

Tangent spaces to metric spaces and to their subspaces
by: Dovgoshey, O.A.
Published: (2008)

On the Boundedness of a Recurrence Sequence in a Banach Space
by: Gomilko, A. M., et al.
Published: (2003)

Investigation of a nonlinear difference equation in a Banach space in a neighborhood of a quasiperiodic solution
by: Samoilenko, A. M., et al.
Published: (1997)

On the bounded solutions of a second-order difference equation
by: M. F. Horodnii, et al.
Published: (2019)

Existence of solutions of boundary-value problems corresponding to a certain difference equation in a Banach space
by: Gorodnii, M. F., et al.
Published: (1993)

On solutions of differential equations in Banach space on the whole real axis
by: V. M. Horbachuk
Published: (2015)

Homomorphisms of algebras of entire functions of bounded type on a Banach space
by: A. V. Zahorodniuk, et al.
Published: (2013)

Bounded solutions of one class of nonlinear operator difference equations
by: Gorodnii, M. F., et al.
Published: (1995)

On the structure of incoming and outgoing subspaces for a wave equations in $ℝ^n$
by: Kuzhel', S. A., et al.
Published: (1999)

On bounded solutions of a difference equation with jumps in the operator coefficient
by: M. F. Horodnii, et al.
Published: (2017)

On the bounded solutions of a difference equation with variable operator coefficient
by: M. F. Horodnii, et al.
Published: (2016)

Structure of solutions of differential equations in a Banach space on an infinite interval
by: V. M. Horbachuk
Published: (2016)

Conditions of solvability and submission of solutions of equations with operator matrix in banach spaces
by: Zhuravlev, V. P., et al.
Published: (2023)

On the Cauchy Problem for Degenerate Difference Equations of the mth Order in a Banach Space
by: Semenyshyna, I. V., et al.
Published: (2003)

Exponential Dichotomy and Bounded Solutions of Differential Equations in the Fréchet Space
by: Boichuk, О. A., et al.
Published: (2014)

Periodic solutions of nonlinear differential equations with pulse influence in a Banach space
by: Perestyuk, N.A., et al.
Published: (1995)

On Invariant Subspaces in Weighted Hardy Spaces
by: V. M. Dilnyi
Published: (2014)

On Invariant Subspaces in Weighted Hardy Spaces
by: Dilnyi, V. M., et al.
Published: (2014)