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

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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Datum:2000
Hauptverfasser: Samoilenko, I. V., Turbin, A. F., Самойленко, И. В., Турбин, А. Ф.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2000
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/4517
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung: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.