Cover Image

Generalized Vandermonde operator and bounded solutions of differential equations

UDC 517.929.2 We study the problem of existence of a unique bounded solution to a linear differential equation of any order with bounded operator coefficients. We consider the case where the corresponding ``algebraic'' operator equation has multiple separated pairwise commuting...

Full description

Saved in:

Bibliographic Details
Date:	2026
Main Authors:	Horodnii, M., Городній, Михайло
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2026
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/8984
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 differential equation with piecewise constant operator coefficients
by: M. F. Horodnii, et al.
Published: (2021)

Bounded and summable solutions of a difference equation with piecewise constant operator coefficients
by: Horodnii , М. F., et al.
Published: (2022)

Bounded solutions of a second-order difference equation with jumps of operator coefficients
by: Horodnii , M. F., et al.
Published: (2021)

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)

Bounded and summable solutions of a difference equation with piecewise constant operator coefficients
by: M. F. Horodnii
Published: (2022)

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

Bounded solutions of a second-order difference equation with jumps of operator coefficients
by: M. F. Horodnii, et al.
Published: (2021)

The bounded solutions of a secondorder difference equation with a jump of the operator coefficient
by: M. F. Horodnii, et al.
Published: (2019)

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

Pth power integrable solutions for an operator differential equation
by: M. F. Horodnii, et al.
Published: (2014)

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

On generalized solutions of differential equations with operator coefficients
by: Chernobai, O. B., et al.
Published: (2006)

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

About bounded properties of smooth solutions of some differential-operator equations
by: Gorodetsky, V.V., et al.
Published: (1999)

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

On generalized solutions of differential equations with several operator coefficients
by: Chernobai, O. B., et al.
Published: (2012)

Bounded solutions of differential equations with “slow” time
by: Sotnichenko, N. A., et al.
Published: (1992)

On periodic and bounded solutions of the operator Riccati equation
by: Dorogovtsev, A. Ya., et al.
Published: (1993)

Bounds for the Periods of Periodic Solutions of Ordinary Differential Equations
by: A. O. Ignatev
Published: (2015)

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

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

Approximation of a bounded solution of one difference equation with unbounded operator coefficient by solutions of the corresponding boundary-value problems
by: Gorodnii, M. F., et al.
Published: (2000)

Integral Form of Bounded Solutions of Some Systems of Differential Equations
by: Kulik, V. L., et al.
Published: (2005)

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

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

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

On analytic solutions of operator differential equations
by: Gorbachuk, M. L., et al.
Published: (2000)

Existence of a solution to the Dirichlet problem for the heat equation with general stochastic measure
by: M. F. Horodnii
Published: (2018)

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

On the existence of solutions of operator differential equations
by: Solonukha, O.V., et al.
Published: (2004)

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)

Approximation of solutions of operator-differential equations by operator polynomials
by: Kashpirovskii, A. I., et al.
Published: (1998)

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

Bounded solutions of evolutionary equations
by: Boichuk, О. A., et al.
Published: (2018)

Bounded solutions of evolutionary equations
by: O. A. Boichuk, et al.
Published: (2018)

Spaces of generalized operators with bounded projection trace
by: Hrushka, Ya. I., et al.
Published: (2011)

Differential operators determining solutions of Elliptic equations
by: Aleksandrovich, I. N., et al.
Published: (1995)

Method of local linear approximation in the theory of bounded solutions of nonlinear differential equations
by: Slyusarchuk, V. Yu., et al.
Published: (2009)