On a nonlocal problem with integral conditions for the system of hyperbolic equations

DOI10.1134/S0012266118020076zbMath1395.35139OpenAlexW2802516319MaRDI QIDQ721867

Anar T. Assanova

Publication date: 20 July 2018

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

Full work available at URL: https://doi.org/10.1134/s0012266118020076

zbMATH Keywords

rectangular domainunique classical solutionsequence of approximate solutions

Mathematics Subject Classification ID

Second-order hyperbolic systems (35L51) Classical solutions to PDEs (35A09)

Related Items (5)

An approach to the solution of the initial boundary-value problem for systems of fourth-order hyperbolic equations ⋮ On features of the solution of a boundary-value problem for the multidimensional integro-differential Benney-Luke equation with spectral parameters ⋮ A multi-point initial problem for a non-classical system of a partial differential equations ⋮ On one solution of a periodic boundary-value problem for a third-order pseudoparabolic equation ⋮ Solution of initial-boundary value problem for a system of partial differential equations of the third order

Cites Work

• Numerical-analytic method for finding solutions of systems with distributed parameters and integral condition
• Classical solution of a problem with an integral condition for the one-dimensional wave equation
• The Goursat problem with integral boundary conditions
• A nonlocal problem with integral conditions
• Well-posedness of initial-boundary value problems for higher-order linear hyperbolic equations with two independent variables
• Unique solvability of nonlocal boundary value problems for systems of hyperbolic equations
• Characteristic and mixed problems for second-order equations of the hyperbolic type
• Well-posedness of nonlocal boundary value problems with integral condition for the system of hyperbolic equations
• The \(L_2\) solvability of a nonlocal problem with integral conditions for a hyperbolic equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On a nonlocal problem with integral conditions for the system of hyperbolic equations