An operator formula for the shift of the solution of the Cauchy problem for an abstract Euler-Poisson-Darboux equation

DOI10.1134/S000143461905002XzbMath1431.34075MaRDI QIDQ2334903

A. V. Glushak

Publication date: 8 November 2019

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

abstract Cauchy problemEuler-Poisson-Darboux equationoperator formula for the shift

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear differential equations in abstract spaces (34G10)

Related Items (2)

On the relationship between the solutions of an abstract Euler-Poisson-Darboux equation and fractional powers of the operator coefficient in the equation ⋮ On the solvability of initial problems for an abstract generalized Euler-Poisson-Darboux equation of higher order

Cites Work

• Criterion for the solvability of the Cauchy problem for an abstract Euler-Poisson-Darboux equation
• Perturbations of an abstract Euler-Poisson-Darboux equation
• The Bessel operator function
• Criterion for the solvability of the weighted Cauchy problem for an abstract Euler-Poisson-Darboux equation
• Abstract Cauchy problem for the Bessel-Struve equation
• Une extension nouvelle de la théorie des fonctions presque-périodiques de Bohr
• Applications of integral transforms composition method (ITCM) to wave-type singular differential equations and index shift transmutations
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