Keldysh-type problems with integral conditions for two-dimensional \(B\)-hyperbolic equations

DOI10.3103/S0027132221050077zbMath1506.35180OpenAlexW4210698416WikidataQ115488697 ScholiaQ115488697MaRDI QIDQ2131404

Yanyan Li

Publication date: 26 April 2022

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132221050077

zbMATH Keywords

hyperbolic equationBessel operatorFourier-Bessel seriesnonlocal problemintegral condition

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Degenerate elliptic equations (35J70) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fourier series and coefficients in several variables (42B05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Waves in compressible fluids (76N30)

Related Items (2)

Analytical solution of one non-local problem for hyperbolic equation ⋮ Uniqueness of solution of boundary-value problem with integral condition for mixed-type equation with Bessel operator

Cites Work

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• The basis problem of the eigenfunctions of ordinary differential operators with integral boundary conditions
• Initial value problem for \(B\)-hyperbolic equation with integral condition of the second kind
• Uniform convergence of expansions in root functions of a differential operator with integral boundary conditions
• The Dirichlet problem for higher-order partial differential equations
• Nonclassical boundary-value problems. II
• Nonclassical boundary value problems. I. Transl. from the Russian
• Discontinuous Integrals and Generalized Potential Theory

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