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One Method for the Investigation of Fundamental Solution of the Cauchy Problem for Parabolic Systems

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Ukrainian Mathematical Journal Aims and scope

A recursive method is proposed for the investigation of fundamental solution of the Cauchy problem for parabolic Shilov systems with time-dependent coefficients. It is based on the general formula for the solution of linear inhomogeneous systems of differential equations of the first order and does not require the use of the genus of the analyzed system.

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Authors and Affiliations

  1. Fed’kovych Chernivtsi National University, Chernivtsi, Ukraine

    V. A. Litovchenko

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  1. V. A. Litovchenko
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, No. 6, pp. 801–811, June, 2018.

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Litovchenko, V.A. One Method for the Investigation of Fundamental Solution of the Cauchy Problem for Parabolic Systems. Ukr Math J 70, 922–934 (2018). https://doi.org/10.1007/s11253-018-1542-8

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  • DOI: https://doi.org/10.1007/s11253-018-1542-8

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