Cover Image

Integration of a singularly perturbed degenerate linear system

We present a method for finding a solution of a linear homogeneous system with degenerate matrix and a small parameter with the derivative.

Saved in:

Bibliographic Details
Date:	1995
Main Authors:	Starun, I. I., ShkiI, N. I., Старун, І. І., Шкіль, М. І.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1995
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5545
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

Linear Singularly Perturbed Systems
by: Starun, I. I., et al.
Published: (2002)

Systems of singularly perturbed degenerate integro-differential equations
by: Zavizion, G. V., et al.
Published: (1999)

On Periodic Solutions of Degenerate Singularly Perturbed Linear Systems with Multiple Elementary Divisor
by: Akymenko, A. M., et al.
Published: (2002)

On asymptotic formulas for solutions of systems of linear differential equations with a degerate matrix with derivatives
by: Samusenko, P. F., et al.
Published: (1996)

Asymptotic integration of singularly perturbed systems of hyperbolic-type partial differential equations with degeneration
by: Samusenko, P. F., et al.
Published: (2011)

Asymptotic solution of the cauchy problem for a singularly perturbed linear system
by: Kocherga, O. I., et al.
Published: (1999)

On the asymptotics of integral manifolds of singularly perturbed systems with delay
by: Cherevko, I. M., et al.
Published: (1999)

Asymptotics of the general solution of the linear singularly perturbed system of higher-order differential equations with degenerations
by: S. P. Pafyk
Published: (2018)

On asymptotics construction for a multipoint boundary-value problem for a linear degenerate singularly perturbed differential system
by: M. B. Vira
Published: (2015)

Asymptotic analysis of a general solution to a linear singularly perturbed system of higher order differential equations with degenerations
by: S. P. Pafyk, et al.
Published: (2015)

Bifurcation of an equilibrium state of a singularly perturbed system with lag
by: Klevchuk, I. I., et al.
Published: (1995)

Asymptotic analysis of a singularly perturbed linear system with a singular limiting beam of matrices
by: Yakovets , V. P., et al.
Published: (1992)

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

On a certain singularly perturbed system of ordinary differential quations with a multiple root of the degenerate equation
by: V. F. Butuzov
Published: (2018)

Homoclinic Points for a Singularly Perturbed System of Differential Equations with Delay
by: Klevchuk, I. I., et al.
Published: (2002)

Decomposition of Linear Singularly Perturbed Functional Differential Equations
by: Perestyuk, M.O., et al.
Published: (2001)

Linear singularly perturbed problems with pulse influence
by: Mel'nik, T. A., et al.
Published: (1999)

Asymptotics of a generalized solution of linear singularly perturbed systems of higher order differential equations with degenerations in the case of multiple spectrum of boundary coupling of matrices
by: S. P. Pafyk, et al.
Published: (2014)

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

Singularly perturbed stochastic systems
by: Korolyuk, V. S., et al.
Published: (1997)

Singularly perturbed stochastic systems
by: Korolyuk, V.S.
Published: (1997)

Asymptotic expansions of solutions to singularly perturbed systems
by: Shchitov, I. N., et al.
Published: (1993)

On stability of singular Cauchy integral with respect to perturbation of the curve of integration
by: O. S. Plaksa, et al.
Published: (2015)

Weakly perturbed integral Fredholm equations with degenerate kernel in Banach spaces
by: V. F. Zhuravlev, et al.
Published: (2017)

Singularly perturbed linear boundary-value problems with pulse effects and the regular reduced problem
by: Karandjulov, L.I.
Published: (1995)

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

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)

Singularly Perturbed Equations with Impulse Action
by: Kaplun, Yu. I., et al.
Published: (2002)

Asymptotic integration of a singularly perturbed quasilinear cauchy problem in a banach space
by: Plotkin, Ya. D., et al.
Published: (1999)

Regularization of the Singularly Perturbed Cauchy Problem for a Hyperbolic System
by: A. Omuraliev, et al.
Published: (2022)

On some properties of degenerate linear systems
by: Yakovets, V. P., et al.
Published: (1997)

On regularity of linear systems with a degenerate matrix by the derivative
by: Symокоп, V. G., et al.
Published: (1993)

Singularly perturbed normal operators
by: Dudkin, M. Ye., et al.
Published: (1999)

Asymptotic solution of the Cauchy problem for the linear singularly perturbed system in case of multiple spectrum of the main operator
by: V. P. Yakovets
Published: (2013)

Nonlocal Dirichlet problem for linear parabolic equations with degeneration
by: Pukalskyi, I. D., et al.
Published: (2007)

Weakly perturbed boundary-value problems for Fredholm integral equations with degenerated kernel in Banach spaces
by: V. F. Zhuravlev, et al.
Published: (2017)

One type of singular perturbations of a~multidimensional stable process
by: M. M. Osypchuk, et al.
Published: (2014)

Asymptotic integration of singularly perturbed differential-algebraic equations with turning points. II
by: Samoilenko , A. M., et al.
Published: (2021)

Інтегрування лінійної сингулярно збуреної системи з виродженням
by: Старун, І.І., et al.
Published: (1995)

Лінійні сингулярно збурені системи
by: Старун, І.І., et al.
Published: (2002)