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Third Boundary-Value Problem in the Half-Strip for the \(B\)-Parabolic Equation

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Abstract

The third boundary-value problem in the half-strip for a partial differential equation with Bessel operator is studied. Existence and uniqueness theorems are proved. The representation of the solution is found in terms of the Laplace convolution of the exponential function and Mittag-Leffler type function with power multipliers. Uniqueness is proved for the class of bounded functions.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Automation, Branch of Kabardino-Balkarian Scientific Center of Russian Academy of Sciences, 360000, Nalchik, Russia

    F. G. Khushtova

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  1. F. G. Khushtova
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Khushtova, F.G. Third Boundary-Value Problem in the Half-Strip for the \(B\)-Parabolic Equation. Math Notes 109, 292–301 (2021). https://doi.org/10.1134/S0001434621010338

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  • DOI: https://doi.org/10.1134/S0001434621010338

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