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On the theory of the third-order equation with multiple characteristics containing the second time derivative

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Ukrainian Mathematical Journal Aims and scope

We construct a fundamental solution of the third-order equation with multiple characteristics containing the second time derivative, establish the estimates valid for large values of the argument, and study some properties of fundamental solutions necessary for the solution of boundary-value problems.

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Authors and Affiliations

  1. Institute of Mathematics and Information Technologies, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan

    T. D. Dzhuraev

  2. Namangan Engineering-Pedagogic University, Namangan, Uzbekistan

    Yu. P. Apakov

Authors
  1. T. D. Dzhuraev
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  2. Yu. P. Apakov
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 1, pp. 40–51, January, 2010.

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Dzhuraev, T.D., Apakov, Y.P. On the theory of the third-order equation with multiple characteristics containing the second time derivative. Ukr Math J 62, 43–55 (2010). https://doi.org/10.1007/s11253-010-0332-8

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  • DOI: https://doi.org/10.1007/s11253-010-0332-8

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