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Abstract Cauchy problem for the Bessel–Struve equation

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Abstract

We consider the Cauchy problem for the Bessel–Struve equation in a Banach space. A sufficient condition for the solvability of this problem is proved, and the solution operator is written in explicit form via the Bessel and Struve operator functions. A number of properties is established for the solutions.

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Authors and Affiliations

  1. Belgorod National Research University, Belgorod, 308015, Russia

    A. V. Glushak

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Original Russian Text © A.V. Glushak, 2017, published in Differentsial’nye Uravneniya, 2017, Vol. 53, No. 7, pp. 891–905.

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Glushak, A.V. Abstract Cauchy problem for the Bessel–Struve equation. Diff Equat 53, 864–878 (2017). https://doi.org/10.1134/S0012266117070035

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