Uniqueness criterion for solutions of nonlocal problems on a finite interval for abstract singular equations

DOI10.1134/S0001434622010047zbMath1500.34053OpenAlexW4213436795MaRDI QIDQ2113392

A. V. Glushak

Publication date: 14 March 2022

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

Full work available at URL: https://doi.org/10.1134/s0001434622010047

zbMATH Keywords

nonlocal problemuniqueness criteriondegenerate equation

Mathematics Subject Classification ID

Linear differential equations in abstract spaces (34G10) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (2)

On the unique solvability of boundary value problems for an abstract Euler-Poisson-Darboux equations on a finite interval ⋮ On the solvability of boundary value problems for an abstract singular equations on a finite interval

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
• Studies on the zeros of Bessel functions and methods for their computation
• Initial value problem for \(B\)-hyperbolic equation with integral condition of the second kind
• Criterion for the solvability of the weighted Cauchy problem for an abstract Euler-Poisson-Darboux equation
• A mixed problem with an integral condition for a hyperbolic equation.
• Uniqueness of the solution of a nonlocal problem for an elliptic-hyperbolic equation with singular coefficients
• Uniqueness criterion for the solution of boundary-value problems for the abstract Euler-Poisson-Darboux equation on a finite interval
• The second initial-boundary value problem for a \(B\)-hyperbolic equation
• A family of singular differential equations
• Solvability of degenerating hyperbolic differential equations with unbounded operator coefficients
• Nonlocal problem for the abstract Bessel-Struve equation
• Keldysh type problem for B-hyperbolic equation with integral boundary value condition of the first kind
• Uniqueness theorems for linear non-local problems for abstract differential equations
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