Analytical solution of one non-local problem for hyperbolic equation

DOI10.1134/s1995080223070442zbMath1528.35135MaRDI QIDQ6059324

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Publication date: 2 November 2023

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

zbMATH Keywords

classical solutionhyperbolic equationnonlocal problemsingular coefficientintegral condition

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Analyticity in context of PDEs (35A20) First-order hyperbolic equations (35L02) Classical solutions to PDEs (35A09)

Cites Work

• Functional differential parabolic equations: integral transformations and qualitative properties of solutions of the Cauchy problem
• Uniqueness of the solution of a nonlocal problem for an elliptic-hyperbolic equation with singular coefficients
• Keldysh-type problems with integral conditions for two-dimensional \(B\)-hyperbolic equations
• Transmutations, singular and fractional differential equations with applications to mathematical physics
• Keldysh type problem for B-hyperbolic equation with integral boundary value condition of the first kind
• Nonlocal boundary value problem with an integral condition for a mixed type equation with a singular coefficient
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