Abstract Cauchy problem for the Bessel–Struve equation
- Authors: Glushak A.V.1
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Affiliations:
- Belgorod National Research University
- Issue: Vol 53, No 7 (2017)
- Pages: 864-878
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/154466
- DOI: https://doi.org/10.1134/S0012266117070035
- ID: 154466
Cite item
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.
About the authors
A. V. Glushak
Belgorod National Research University
Author for correspondence.
Email: aleglu@mail.ru
Russian Federation, Belgorod, 308015
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