Abstract Euler-Poisson-Darboux equation with nonlocal condition

DOI10.3103/S1066369X16060037zbMath1380.34092MaRDI QIDQ308864

A. V. Glushak

Publication date: 6 September 2016

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

zbMATH Keywords

Euler-Poisson-Darboux equationRiemann-Liouville operatornonlocal conditionsErdelyi-Kober operator

Mathematics Subject Classification ID

Linear differential equations in abstract spaces (34G10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (7)

Singular Cauchy problem for the general Euler-Poisson-Darboux equation ⋮ Transmutation Operators as a Solvability Concept of Abstract Singular Equations ⋮ Applications of integral transforms composition method (ITCM) to wave-type singular differential equations and index shift transmutations ⋮ On the solvability of boundary value problems for an abstract Bessel-Struve equation ⋮ Uniquely solvable problems for abstract Legendre equation ⋮ Nonlocal problem for the abstract Bessel-Struve equation ⋮ Uniqueness criterion for solutions of nonlocal problems on a finite interval for abstract singular equations

Cites Work

• The Bessel operator function
• A new shift scheme for the harmonic Arnoldi method
• Uniqueness theorems for linear non-local problems for abstract differential equations
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