On a problem for a fourth-order equation with multiple characteristics containing the third time derivate

DOI10.1134/s1995080223080061OpenAlexW4389103027MaRDI QIDQ6140420

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Publication date: 22 January 2024

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

Full work available at URL: https://doi.org/10.1134/s1995080223080061

zbMATH Keywords

existenceuniquenesscharacteristic equationseriesFourier methodinitial-boundary problemcharacteristic number

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for linear higher-order PDEs (35G16) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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• On the solution of a boundary-value problem for a third-order equation with multiple characteristics
• Solution of the boundary value problem for a third order equation with little terms. Construction of the Green's function
• On unique solvability of a boundary-value problem for a viscous transonic equation
• A boundary value problem for a fourth order partial differential equation with the lowest term
• On the theory of the third-order equation with multiple characteristics containing the second time derivative
• Колебания балки с заделанными концами
• On the Interactions of Permanent Waves of Finite Amplitude

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