Cover Image

Construction of a fundamental system of solutions of a linear finite-order difference equation

We present an efficient algorithm for the construction of a fundamental system of solutions of a linear finite-order difference equation. We obtain expressions in which all elements of this system are expressed via one of its elements and find a particular solution of an inhomogeneous equation.

Saved in:

Bibliographic Details
Date:	2009
Main Authors:	Kruglov, V. E., Круглов, В. Е.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2009
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3058
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

Solution of a Linear Second-Order Differential Equation with Coefficients Analytic in the Vicinity of a Fuchsian Zero Point
by: Kruglov, V. E., et al.
Published: (2012)

Solution of a second-order Poincaré-Perron-type equation and differential equations that can be reduced to it
by: Kruglov, V. E., et al.
Published: (2008)

Construction of a Fundamental Solution of a Perturbed Parabolic Equation
by: Bondarenko, V. G., et al.
Published: (2003)

Transformation of the linear difference equation into a system of the first order difference equations
by: Ayzatsky, M.I.
Published: (2019)

Asymptotics of the fundamental system of solutions of a linear functional-differential equation with respect to a parameter
by: Radzievskii, G. V., et al.
Published: (1995)

Construction of integral variety of solutions of a system of difference equations
by: Mardanov , I. Dzh., et al.
Published: (1992)

Oscillation of solutions of the second-order linear functional-difference equations
by: Karpenko, O. V., et al.
Published: (2013)

Factorization of matrices of permutation type
by: Kruglov, V. E., et al.
Published: (1994)

Oscillation of solutions of the second-order linear functional-difference equations
by: O. V. Karpenko, et al.
Published: (2013)

Existence of the solution family of a system of linear difference equations with an argument deviation
by: Mardanov , I. Dzh., et al.
Published: (1992)

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

Construction of asymptotic solutions of linear singularly disturbed second-order system with degenerations
by: Yakovets , V. P., et al.
Published: (1992)

Construction and analytical properties of integral varieties of solutions of a system of nonlinear difference equations
by: Kurbanshoev , S. Z., et al.
Published: (1992)

On the structure of the general solution of a degenerate linear system of second-order differential equations
by: Yakovets, V. P., et al.
Published: (1998)

On the Linearization of Second-Order Differential and Difference Equations
by: Dorodnitsyn, V.
Published: (2006)

On construction of approximate solutions for an autonomous difference second order equation describing oscillating processes with a considerable resistance force
by: Le Suan Kan, et al.
Published: (1971)

Methods to construct the exact difference scheme for a differential equation of order 4
by: V. G. Prikazchikov
Published: (2017)

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)

Filtration of random solutions of a system of linear difference equations with coefficients depending on a Markov chain
by: Lapshin, A. L., et al.
Published: (1998)

Asymptotics of the general solution to a linear singularly perturbed system of second-order differential equations with degeneracy
by: Yakovets, V. P., et al.
Published: (1993)

The construction of the stability domains of linear differential-difference equations
by: I. I. Klevchuk, et al.
Published: (2012)

On the transformation of the linear differential equation into a system of the first order equations
by: Ayzatsky, M.I.
Published: (2019)

On the Solution of a Locally Finite System of Linear Inequalities with Graph Structure
by: Ostapenko, V. V., 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)

Integer solutions for a vector implicit linear difference equation in Zⁿ
by: S. L. Heter, et al.
Published: (2018)

On the fundamental solution of the Cauchy problem for Kolmogorov systems of the second order
by: Burtnyak, I. V., et al.
Published: (2018)

Filtration and prediction of random solutions of a system of linear differential equations with coefficients depending on a finite-valued Markov process
by: Lapshin, A. L., et al.
Published: (1998)

On the Order of Growth of the Solutions of Linear Differential Equations in the Vicinity of a Branching Point
by: A. A. Mokhonko, et al.
Published: (2015)

On the Order of Growth of the Solutions of Linear Differential Equations in the Vicinity of a Branching Point
by: Mokhonko, A. Z., et al.
Published: (2015)

Construction of Asymptotic Solutions of Linear Systems of Differential Equations with Two Small Parameters
by: Yakovets, V. P., et al.
Published: (2003)

On the fundamental solution of the Cauchy problem for Kolmogorov systems of the second order
by: H. P. Malytska, et al.
Published: (2018)

On periodic solutions of countable systems of linear and quasilinear difference equations with periodic coefficients
by: Samoilenko, M. V., et al.
Published: (1996)

Structure of a Munn semigroup of finite rank every stable order of which is fundamental or antifundamental
by: Derech, V. D., et al.
Published: (2009)

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

Continuous solutions of linear difference-functional equations
by: T. O. Yeromina
Published: (2014)

Necessary conditions for existence of positive solutions of second order linear difference equations and sufficient conditions for oscillation of solutions
by: Koplatadze, R., et al.
Published: (2009)

Polynomial quasisolutions of linear second-order differential-difference equations
by: Ermolaeva, P. G., et al.
Published: (2008)

Periodic solutions for a system of linear nonhomogeneous first order differential equations with rectangular periodic matrices
by: M. A. Elishevich
Published: (2015)

The existence of a classical solution to the mixed problem for a linear second-order hyperbolic equation
by: Mitropolskiy, Yu. A., et al.
Published: (1993)

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