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On a solution of a boundary-value problem for a hyperbolic equation on a disk with random initial conditions

  • A. O. Oliinyk
Brief Communications
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Abstract

We establish conditions under which a solution of a boundary-value problem for a hyperbolic equation on a disk with random initial conditions can be represented as a series uniformly convergent with probability one.

Keywords

Uniform Convergence Hyperbolic Equation Fourier Method Liouville Problem Random Initial Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

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    A. M. Samoilenko, S. A. Krivosheya, and N. A. Perestyuk, Differential Equations. Examples and Problems [in Ukrainian] Vyshcha Shkola, Kiev 1994.Google Scholar
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    Yu. V. Kozachenko, “Conditions for the uniform convergence of Gauss series and trigonometric series close to them in the Luxemburg norm,” Teor. Ver. Mat. Stat., No. 28, 59–70 (1983).Google Scholar

Copyright information

© Kluwer Academic/Plenum Publishers 2000

Authors and Affiliations

  • A. O. Oliinyk
    • 1
  1. 1.Kiev UniversityKiev

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