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The Two-Point Problem as the Mathematical Model of the Oscillation Process of a Longitudinal Body

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Advances in Intelligent Systems and Computing V (CSIT 2020)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1293))

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Abstract

The wave process of an elastic longitudinal body at given positions or speeds of change at two time moments is described by a mathematical model. The study of this model includes finding the solution of the partial differential equation of second order in time that satisfies two-point in time conditions. The method for constructing an analytical solution is developed. The examples of some oscillatory systems models are given and processes in them are studied.

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Authors and Affiliations

  1. Lviv Polytechnic National University, Lviv, 79013, Ukraine

    Zinovii Nytrebych

  2. Danylo Halytsky Lviv National Medical University, Lviv, 79017, Ukraine

    Oksana Malanchuk

Authors
  1. Zinovii Nytrebych
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  2. Oksana Malanchuk
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Correspondence to Zinovii Nytrebych or Oksana Malanchuk .

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Editors and Affiliations

  1. Department of Artificial Intelligence, Lviv Polytechnic National University, Lviv, Ukraine

    Natalya Shakhovska

  2. Institute of Computer Science and Information Technologies, Lviv Polytechnic National University, Lviv, Ukraine

    Mykola O. Medykovskyy

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Nytrebych, Z., Malanchuk, O. (2021). The Two-Point Problem as the Mathematical Model of the Oscillation Process of a Longitudinal Body. In: Shakhovska, N., Medykovskyy, M.O. (eds) Advances in Intelligent Systems and Computing V. CSIT 2020. Advances in Intelligent Systems and Computing, vol 1293. Springer, Cham. https://doi.org/10.1007/978-3-030-63270-0_36

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