A family of singular differential equations

DOI10.1134/S1995080220050030zbMath1455.34062MaRDI QIDQ2206678

A. V. Glushak

Publication date: 28 October 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

unique solvabilityinitial problemfamily of singular differential equationsoperators of motion by parameter

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear differential equations in abstract spaces (34G10)

Related Items (3)

Dirichlet problem on the half-line for an abstract Euler-Poisson-Darboux equation containing powers of an unbounded operator ⋮ The associated operator Legendre function and the incomplete Cauchy problem ⋮ Uniqueness criterion for solutions of nonlocal problems on a finite interval for abstract singular equations

Cites Work

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• Criterion for the solvability of the Cauchy problem for an abstract Euler-Poisson-Darboux equation
• Singular Cauchy problem for the general Euler-Poisson-Darboux equation
• Criterion for the solvability of the weighted Cauchy problem for an abstract Euler-Poisson-Darboux equation
• Uniquely solvable problems for abstract Legendre equation
• Abstract Cauchy problem for the Bessel-Struve equation
• THE CAUCHY PROBLEM FOR THE EULER-POISSON-DARBOUX EQUATION IN A SYMMETRIC SPACE
• The Legendre operator function
• Singular Cauchy problem for generalized homogeneous Euler-Poisson-Darboux equation
• The general form of the Euler--Poisson--Darboux equation and application of transmutation method

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