Singular Cauchy problem for the general Euler-Poisson-Darboux equation

DOI10.1515/math-2018-0005zbMath1499.35464OpenAlexW2791131845MaRDI QIDQ1643969

Elina Leonidovna Shishkina

Publication date: 20 June 2018

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2018-0005

zbMATH Keywords

Bessel operatorEuler-Poisson-Darboux equationsingular Cauchy problem

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Euler-Poisson-Darboux equations (35Q05)

Related Items (4)

A family of singular differential equations ⋮ Transmutation Operators as a Solvability Concept of Abstract Singular Equations ⋮ The Appell’s function F₃ and the solutions of a PDE with singular coefficients ⋮ On the solutions of some classes of PDE with singular coefficients

Cites Work

• Criterion for the solvability of the Cauchy problem for an abstract Euler-Poisson-Darboux equation
• Abstract Euler-Poisson-Darboux equation with nonlocal condition
• On a Kipriyanov problem for a singular ultrahyperbolic equation
• Formulas for the solution of the Cauchy problem for a singular wave equation with Bessel time operator
• The general form of the Euler--Poisson--Darboux equation and application of transmutation method
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