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.

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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: Proceedings of International Scientific and Practical Conference, (3), 9–10. https://doi.org/10.31713/MCIT.2019.17

Issue

2019: Modeling, control and information technologies: Proceedings of III International scientific and practical conference

Section

Mathematical modelling and computational methods