Initial-boundary value problem for hyperbolic equation with singular coefficient and integral condition of second kind

DOI10.1134/S1995080218090299zbMath1415.35211OpenAlexW2910133962WikidataQ128610689 ScholiaQ128610689MaRDI QIDQ669553

N. V. Zaitseva, K. B. Sabitov

Publication date: 15 March 2019

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

Full work available at URL: https://doi.org/10.1134/s1995080218090299

zbMATH Keywords

Fourier-Bessel seriesnon-local integral condition

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Series solutions to PDEs (35C10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Singular hyperbolic equations (35L81)

Related Items (8)

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 ⋮ On the uniform convergence of the expansion of a function in the Fourier-Bessel range ⋮ Mixed problems with integral conditions for hyperbolic equations with the Bessel operator ⋮ Boundary Value Problem with Integral Condition for the Mixed Type Equation with a Singular Coefficient ⋮ First initial-boundary value problem for \(B\)-hyperbolic equation ⋮ Задача со смещением для вырождающегося гиперболического уравнения первого рода

Cites Work

• Dirichlet problem for an equation of mixed type with two degeneration lines in a rectangular domain
• Keldysh problem for a mixed-type equation of the second kind with the Bessel operator
• Initial value problem for \(B\)-hyperbolic equation with integral condition of the second kind
• Boundary-value problems for a hyperbolic equation with nonlocal conditions of the I and II kind
• A nonlocal problem with integral conditions for a hyperbolic equation
• Keldysh type problem for B-hyperbolic equation with integral boundary value condition of the first kind
• Нелокальная краевая задача для $B$-гиперболического уравнения в прямоугольной области
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