About Averaging in Hyperbolic Equation under the Influence of Multifrequence Disturbances

Authors

  • Yaroslav Bihun Yuriy Fedkovych Chernivtsi National University
  • Ihor Skutar Yuriy Fedkovych Chernivtsi National University

DOI:

https://doi.org/10.31713/MCIT.2019.17

Keywords:

averaging method; multifrequency problem; system; resonance; small parameter; integral conditions

Abstract

The research deals with the existence of the
solution of the initial problem for hyperbolic equation under the
multifrequency disturbances, which are described by the system
of ordinary differential equations (ODE) with multipoint and
integral conditions. The averaging method over fast variables is
grounded and estimation of accuracy of the method which
obviously depends on the small parameter was found.

Downloads

Published

2019-11-06

How to Cite

Bihun, Y., & Skutar, I. (2019). About Averaging in Hyperbolic Equation under the Influence of Multifrequence Disturbances. Modeling, Control and Information Technologies, (3), 9–10. https://doi.org/10.31713/MCIT.2019.17

Issue

No. 3 (2019): Modeling, control and information technologies

Section

Mathematical, computer modeling and computational methods

License

All materials are distributed under the terms of the Creative Commons Attribution 4.0 International License, which allows others to distribute the work with attribution to the authorship of this work and the first publication in this journal.