Initial value problem for \(B\)-hyperbolic equation with integral condition of the second kind

DOI10.1134/S001226611801010XzbMath1395.35153OpenAlexW2800646934WikidataQ115250797 ScholiaQ115250797MaRDI QIDQ1649471

N. V. Zaitseva, K. B. Sabitov

Publication date: 6 July 2018

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

Full work available at URL: https://doi.org/10.1134/s001226611801010x

zbMATH Keywords

Fourier-Bessel seriesintegral boundary conditionhyperbolic equation with Bessel operatorintegral identity method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Series solutions to PDEs (35C10) Singular hyperbolic equations (35L81)

Related Items (12)

Keldysh-type problems with integral conditions for two-dimensional \(B\)-hyperbolic equations ⋮ Nonlocal boundary value problem with an integral condition for a mixed type equation with a singular coefficient ⋮ The second initial-boundary value problem for a \(B\)-hyperbolic equation ⋮ Composition and commutator of singular \(\mathbf{J}\)-pseudodifferential Kipriyanov operators in \(\mathbb{R}_N \) ⋮ Relations for the Horn functions ⋮ Mixed problems with integral conditions for hyperbolic equations with the Bessel operator ⋮ Fundamental solution of a singular Bessel differential operator with a negative parameter ⋮ Hyperbolic Riesz B-potential and solution of an iterated non-homogeneous B-hyperbolic equation ⋮ Boundary Value Problem with Integral Condition for the Mixed Type Equation with a Singular Coefficient ⋮ Initial-boundary value problem for hyperbolic equation with singular coefficient and integral condition of second kind ⋮ First initial-boundary value problem for \(B\)-hyperbolic equation ⋮ Uniqueness criterion for solutions of nonlocal problems on a finite interval for abstract singular equations

Cites Work

• Boundary-value problem with nonlocal integral condition for mixed-type equations with degeneracy on the transition line
• Dirichlet problem for an equation of mixed type with two degeneration lines in a rectangular domain
• Nonlocal problem for a parabolic-hyperbolic equation in a rectangular domain
• Keldysh problem for a mixed-type equation of the second kind with the Bessel operator
• Nonlocal initial-boundary-value problems for a degenerate hyperbolic equation
• Boundary-value problems for a hyperbolic equation with nonlocal conditions of the I and II kind
• Solution of the Tricomi problem for an equation of mixed type with a singular coefficient by means of the spectral method
• A nonlocal problem with integral conditions for a hyperbolic equation
• Boundary value problem for a parabolic-hyperbolic equation with a nonlocal integral condition
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