Abstract Cauchy problem for the Bessel–Struve equation


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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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A. Glushak

Belgorod National Research University

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