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JOURNALS // Applied Mathematics & Physics // Archive

Applied Mathematics & Physics, 2016, Volume 43, Issue 13, Pages 5–11 (Mi pmf100)

MATHEMATICS

On solvability of the initial problem for Bessel - Struve equation with bounded operator

A. V. Glushak

Белгородский национальный исследовательский университет

Abstract: In a Banach space was considered the Cauchy problem for the Bessel-Struve equation with bounded operator. An explicit form of the solution operator, which is recorded using the operator functions of Bessel and Struve, was indicated. A number of solution's properties was considered.

Keywords: Bessel-Struve equation, abstract Cauchy problem, the operator of Bessel and Struve functions.

UDC: 517.983



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