Cover Image

Averaging method in multifrequency systems with delay

We justify the averaging method for systems with delay that pass through resonances in the process of evolution. We obtain an estimate of the error of the method that explicitly depends on a small parameter.

Saved in:

Bibliographic Details
Date:	1998
Main Authors:	Bigun, Ya. I., Бігун, Я. Й.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1998
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4963
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

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

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

Averaging of Oscillation Systems with Delay and Integral Boundary Conditions
by: Bigun, Ya. I., et al.
Published: (2004)

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

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

Averaging method in multifrequency systems with slowly varying parameters
by: Samoilenko , A. M., et al.
Published: (1988)

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

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

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

A general averaging scheme for discrete systems with variable delays
by: O. D. Kichmarenko, et al.
Published: (2016)

Averaging in mathematical models under the influence of multi-frequency perturbances with delay
by: Ya. I. Bihun, et al.
Published: (2024)

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)

Averaging of boundary-value problems of control over a standard system with delay
by: Efendiev, V. V., et al.
Published: (1996)

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

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

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

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

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

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

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

Substantiation of the Averaging Method for a Nonlocal m-Frequency Problem with Linearly Transformed Arguments
by: Скутар, Ігор, et al.
Published: (2020)

On the averaging principle for semilinear functional-differential equations with infinite delay in a Banach space
by: L. Guedda, et al.
Published: (2021)

Robust stability of systems with delay
by: Mustafaeva, R., et al.
Published: (1995)

The multifrequency low-voltage plasma-beam generator
by: Antipov, V.S., et al.
Published: (2007)

MULTIFREQUENCY ALGORITHMS FOR DETERMINING THE MOISTURE CONTENT OF LIQUID EMULSIONS BY THE METHOD OF RESONANCE DIELCOMETRY
by: Korobko, A. A.
Published: (2017)

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

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

Numerical-analytic method for the investigation of multipoint boundary-value problems for systems of differential equations with transformed argument
by: Bigun, Ya. I., et al.
Published: (1998)

Quadratic systems with delay
by: I. A. Dzhalladova, et al.
Published: (2013)

Short Multifrequency Vibrator Antenna. I. Principles of Construction
by: Bovkoon, V. P., et al.
Published: (2013)

Method of determining intervals of instability of quasiharmonic systems with a delayed argument
by: Menkо, Y. P., et al.
Published: (1966)

Existence, uniqueness, and dependence on a parameter of solutions of differential-functional equations with ordinary and partial derivatives
by: Bigun, Ya. I., et al.
Published: (1997)

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 of fuzzy systems
by: N. A. Perestjuk, et al.
Published: (2018)

Averaging in stochastic system
by: Mitropolsky , Yu. A., et al.
Published: (1971)

Averaging of fuzzy systems
by: Perestyuk, N. A., et al.
Published: (2018)

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

Automated non-destructive testing of steel alloys microstructure based on multifrequency eddy current method
by: Yu. O. Kalenychenko, et al.
Published: (2022)

Study of stability conditions of stochastic disturbed systems with delay
by: Nechaeva , I. N., et al.
Published: (1992)