On the Solvability of Initial Problems for an Abstract Generalized Euler–Poisson–Darboux Equation of Higher Order

Using integral representations of Poisson type, it is established in the paper that the Cauchy problem for a number of abstract higher order singular equations, including those with fractional derivatives, are reduced to simpler problems for nonsingular equations.

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2022-06, Vol.43 (6), p.1313-1325
Main Author: Glushak, A. V.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Cauchy problems
Geometry
Mathematical analysis
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
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Description
Summary:Using integral representations of Poisson type, it is established in the paper that the Cauchy problem for a number of abstract higher order singular equations, including those with fractional derivatives, are reduced to simpler problems for nonsingular equations.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080222090098