Abstract Cauchy problem for the Bessel-Struve equation

DOI10.1134/S0012266117070035zbMath1382.34065WikidataQ115250941 ScholiaQ115250941MaRDI QIDQ2411835

A. V. Glushak

Publication date: 25 October 2017

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemBanach spaceBessel-Struve equationintegrated cosine family

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Groups and semigroups of linear operators (47D03) Linear differential equations in abstract spaces (34G10) Integrated semigroups (47D62)

Related Items (8)

Criterion for the solvability of the weighted Cauchy problem for an abstract Euler-Poisson-Darboux equation ⋮ Operator hypergeometric functions ⋮ A family of singular differential equations ⋮ Transmutation Operators as a Solvability Concept of Abstract Singular Equations ⋮ On the solvability of boundary value problems for an abstract Bessel-Struve equation ⋮ Nonlocal problem for the abstract Bessel-Struve equation ⋮ An operator formula for the shift of the solution of the Cauchy problem for an abstract Euler-Poisson-Darboux equation ⋮ On the solvability of initial problems for an abstract generalized Euler-Poisson-Darboux equation of higher order

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