A boundary problem for the loaded partial differential equations of fourth order

DOI10.1134/S1995080221030197zbMath1465.35299OpenAlexW3157682904WikidataQ115247355 ScholiaQ115247355MaRDI QIDQ2026683

A. K. Urinov, M. Azizov

Publication date: 20 May 2021

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

Full work available at URL: https://doi.org/10.1134/s1995080221030197

zbMATH Keywords

singularityspectral methodexistence of solutionrectangular domain

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Singularity in context of PDEs (35A21)

Related Items (3)

On the solvability of nonlocal initial-boundary value problems for a partial differential equation of high even order ⋮ On an analogue of the Tricomi problem for a «pointwise» loaded hyperbolic-parabolic equation ⋮ An adaptive approach for solving fourth-order partial differential equations: algorithm and applications to engineering models

Cites Work

• Boundary-value problems for loaded third-order parabolic-hyperbolic equations in infinite three-dimensional domains
• A boundary problem for the fourth order equation with a singular coefficient in a rectangular region
• On a problem of heat equation with fractional load
• A nonlinear loaded parabolic equation and a related inverse problem
• On the solvability of boundary value problems with a nonlocal boundary condition of integral form for multidimensional hyperbolic equations
• Initial-boundary problem for parabolic-hyperbolic equation with loaded summands
• On some boundary value problems for a third order loaded integro-differential equation with real parameters
• Analogue of Tricomi problem for characteristically loaded hyperbolic-parabolic equation with variable coefficients
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