Cover Image

Averaging method in multifrequency systems with slowly varying parameters

Получены равномерные оценки некоторых осцилляционных интегралов, зависящих от параметров. Указанные оценки применяются для обоснования метода усреднения в многочастотных колебательных системах как на конечном, так и на бесконечном временном интервале....

Full description

Saved in:

Bibliographic Details
Date:	1988
Main Authors:	Samoilenko , A. M., Petrishin, R. I., Самойленко , А. М., Петришин , Р. И.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 1988
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/9185
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

Averaging of initial-value and multipoint problems for oscillation systems with slowly varying frequencies and deviated argument
by: Danylyuk, I. M., et al.
Published: (2007)

Averaging of Boundary-Value Problems with Parameters for Multifrequency Impulsive Systems
by: Lakusta, L. M., et al.
Published: (2002)

Justification of Averaging Method for Multifrequency Impulsive Systems
by: Petryshyn, R. I., et al.
Published: (2003)

On integral manifolds of oscillating systems with slowly varying frequencies
by: Lakusta, L. M., et al.
Published: (1998)

Averaging method in multifrequency systems with delay
by: Bigun, Ya. I., et al.
Published: (1998)

Estimate of an error of the averaging method on a semiaxis for a multifrequency resonance system
by: Petryshyn, R. I., et al.
Published: (1997)

Boundary-value problems with parameters for a multifrequency oscillation system
by: Petryshyn, Ya. R., et al.
Published: (1997)

On solutions of oscillating type of the countable differential systems with slowly varying parameters
by: S. A. Shchoholev, et al.
Published: (2016)

On one class of solutions of a countable quasilinear system of differential equations with slowly varying parameters
by: Shchegolev, S. A., et al.
Published: (1998)

On solutions of a second-order quasilinear differential system representable by Fourier series with slowly varying parameters
by: Kostin, A. V., et al.
Published: (1998)

On a special case of existence of quasilinear differential systems solutions represented by Fourier-series with slowly varying parameters
by: S. A. Shchoholev
Published: (2012)

Renewal shot noise processes in the case of slowly varying tails
by: Z. Kabluchko, et al.
Published: (2016)

Asymptotic splitting of systems of the second order differential equations with slowly varying and oscillating coefficients
by: Kuzma, N. G., et al.
Published: (1988)

Asymptotic solutions to the first order differential equation with deviated argument and slowly varying coefficients
by: Mitropolsky, Y.A., et al.
Published: (2004)

Averaging in multifrequency boundary problems with linearly transformed arguments
by: I. V. Berezovska
Published: (2013)

Asymptotic behavior of slowly varying solutions of second-order binomial differential equations with rapid varying nonlinearity
by: V. M. Evtukhov, et al.
Published: (2017)

Existence of a solution and averaging of nonlinear multifrequency problems with delay
by: Bigun, Ya. I., et al.
Published: (2007)

Averaging the initial value problem for multifrequency systems of higher approximations with constant delays
by: I. M. Danyliuk
Published: (2013)

Averaging of a multifrequency boundary-value problem with linearly transformed argument
by: Bigun, Ya. I., et al.
Published: (2000)

Error Estimates for the Averaging Method for Pulse Oscillation Systems
by: Lakusta, L. M., et al.
Published: (2003)

Averaging of a multipoint problem with parameters for an impulsive oscillation system
by: Petryshyn, Ya. R., et al.
Published: (2000)

A resonance case of the existence of solutions of a quasilinear second-order differential system, which are represented by Fourier series with slowly varying parameters
by: Shchegolev, S. A., et al.
Published: (1999)

Construction of an Integral Manifold of a Multifrequency Oscillation System with Fixed Times of Pulse Action
by: Petryshyn, R. I., et al.
Published: (2003)

Averaging method in multipoint problems of the theory of nonlinear oscillations
by: Petryshyn, Ya. R., et al.
Published: (1996)

Stochastic dynamics of a nonlinear oscillator driven by periodic force with slowly varying frequency
by: O. Bakai, et al.
Published: (2020)

Asymptotics of slowly changing solutions to second order binomial differential equations with rapidly varying nonlinearities
by: V. M. Evtukhov, et al.
Published: (2016)

On application of slowly varying functions with remainder in the theory of Markov branching processes with mean one and infinite variance
by: A. Imomov, et al.
Published: (2021)

On application of slowly varying functions with remainder in the theory of Markov branching processes with mean one and infinite variance
by: Imomov, A., et al.
Published: (2021)

Construction of a solution of a quasilinear partial differential equation of parabolic type with oscillating and slowly varying coefficients
by: Shchegolev, S. A., et al.
Published: (1995)

Dynamical Bifurcation of Multifrequency Oscillations in a Fast-Slow System
by: Parasyuk, I. O., et al.
Published: (2015)

Averaging method in some problems of the theory of nonlinear oscillations
by: Petryshyn, R. I., et al.
Published: (1995)

Dynamical Bifurcation of Multifrequency Oscillations in a Fast-Slow System
by: A. M. Samoilenko, et al.
Published: (2015)

On Preservation of the Invariant torus for Multifrequency Systems
by: Perestyuk, N. A., et al.
Published: (2013)

On Preservation of the Invariant torus for Multifrequency Systems
by: M. O. Perestiuk, et al.
Published: (2013)

Perturbation theorems for a multifrequency system with impulses
by: P. Feketa, et al.
Published: (2015)

Methods of producing multifrequency generation in the laser terahertz resonator
by: V. P. Radionov, et al.
Published: (2015)

Estimate of Oil Film Parameters on Sea Surface by Means of Multifrequency Radaring
by: Boev, A. G., et al.
Published: (2013)

The Poincare-Mel'nikov geometric analysis of the transversal splitting of manifolds of slowly perturbed nonlinear dynamical systems. I
by: Prykarpatsky, A. K., et al.
Published: (1993)

Exponential stability of invariant manifold for nonlinear impulsive multifrequency system
by: P. Feketa, et al.
Published: (2019)

On one generalization of the averaging method
by: Valeyev, K. G., et al.
Published: (1997)