Cover Image

Asymptotic expansions of solutions to singularly perturbed systems

Under the condition that a degenerate system has an exponentially stable integral manifold, an asymptotic expansion of the Cauchy problem that generalizes the well known Vasil'eva expansion is constructed for a perturbed system.

Saved in:

Bibliographic Details
Date:	1993
Main Authors:	Shchitov, I. N., Щитов, И. Н.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1993
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5842
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

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

Asymptotics of solutions of discontinuous singularly perturbed boundary-value problems
by: Mel'nik, T. A., 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 a solution of a discontinuous singularly perturbed Cauchy problem
by: Mel'nik, T. A., et al.
Published: (1994)

Asymptotic solutions of singularly perturbed differential algebraic equations with turning points
by: M. O. Rashevskyi, et al.
Published: (2021)

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

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

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)

Asymptotic behavior of the solutions of boundary-value problems for singularly perturbed integro-differential equations
by: Dauylbayev, M. K., et al.
Published: (2026)

Asymptotic stepwise solutions of the Korteweg-de Vries equation with a singular perturbation and their accuracy
by: S. I. Lyashko, et al.
Published: (2021)

Asymptotic Σ-solutions to singularly perturbed Benjamin–Bona–Mahony equation with variable coefficients
by: V. H. Samoilenko, et al.
Published: (2018)

Asymptotic Behavior of Solutions of Linear Singularly Perturbed General Separated Boundary-Value Problems with Initial Jump
by: Kasymov, K. A., et al.
Published: (2003)

Asymptotic $Σ$-solutions to singularly perturbed Benjamin – Bona – Mahony equation with variable coefficients
by: Samoilenko, V. G., et al.
Published: (2018)

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)

Asymptotic behavior of the solutions of boundary-value problems for singularly perturbed integro-differential equations
by: M. K. Dauylbaev, et al.
Published: (2019)

Asymptotic multiphase Sigma-solutions to the singularly perturbed Korteweg-de Vries equation with variable coefficients
by: V. H. Samoilenko, et al.
Published: (2014)

Asymptotic solutions of the Cauchy problem for the singularly perturbed Korteweg-de Vries equation with variable coefficients
by: Samoilenko, V. G., et al.
Published: (2007)

Asymptotic solutions of soliton type of the Korteweg–de Vries equation with variable coefficients and singular perturbation
by: V. H. Samoilenko, et al.
Published: (2019)

Global asymptotic step like solutions to the singularly perturbed Korteweg-de Vries equation with variable coefficientss
by: S. I. Ljashko, et al.
Published: (2020)

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

Асимптотика решений систем с медленными и быстрыми переменными. II
by: Щитов, И.Н.
Published: (1987)

Асимптотика решений систем с медленными и быстрыми переменными
by: Щитов, И.Н.
Published: (1985)

Бифуркация периодического решения системы обыкновенных дифференциальных уравнений
by: Щитов, И.Н.
Published: (1986)

An application of asymptotic methods to regularly and singularly perturbed differential-difference equations
by: M. O. Perestiuk, et al.
Published: (2013)

Asymptotic expansion of solutions of quasilinear parabolic problems in perforated domains
by: Skrypnik, I. V., et al.
Published: (1993)

Constructing Asymptotic Soliton-Like Solution to the Singular Perturbed Korteweg-De Vries Equation with Special Coefficients
by: K. S. Zaitseva, et al.
Published: (2018)

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)

Asymptotic two-phase solitonlike solutions of the singularly perturbed Korteweg-de Vries equation with variable coefficients
by: Samoilenko, V. G., et al.
Published: (2008)

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

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

On some extremal problems in the theory of approximation of functions in the spaces $S^p,\quad 1 \leq p < \infty$
by: Vakarchuk, S. B., et al.
Published: (2006)

Best Polynomial Approximations in $L_2$ and Widths of Some Classes of Functions
by: Vakarchuk, S. B., et al.
Published: (2004)

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

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

On some periodic solutions of singularly perturbed parabolic equations
by: Vasilyeva, A. B., et al.
Published: (2007)

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

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

Asymptotic Multiphase Solitonlike Solutions of the Cauchy Problem for a Singularly Perturbed Korteweg–de-Vries Equation with Variable Coefficients
by: V. H. Samoilenko, et al.
Published: (2014)

Asymptotics of the general solution of a linear homogeneous singularly perturbed system of differential equations for problems of dynamics of stability of circular cylindrical shells
by: S. P. Pafyk
Published: (2020)

Asymptotics of solutions of boundary-value problems for linear singularly perturbed systems of differential equations in the case of a multiple spectrum of the boundary matrix
by: M. B. Vira
Published: (2018)