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A Probability Method for the Solution of the Telegraph Equation with Real-Analytic Initial Conditions

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Ukrainian Mathematical Journal Aims and scope

Abstract

We propose a method for the construction of an analytic solution of the Cauchy problem for the telegraph equation that is based on its simulation by a one-dimensional Markov random evolution.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. F. Turbin & I. V. Samoilenko

Authors
  1. A. F. Turbin
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  2. I. V. Samoilenko
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Turbin, A.F., Samoilenko, I.V. A Probability Method for the Solution of the Telegraph Equation with Real-Analytic Initial Conditions. Ukrainian Mathematical Journal 52, 1292–1299 (2000). https://doi.org/10.1023/A:1010313423230

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  • DOI: https://doi.org/10.1023/A:1010313423230

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