Construction of the solution of a boundary-value problem for the third-order equation with lower terms with the help of the Green function

DOI10.1007/s10958-023-06644-2OpenAlexW4387056917MaRDI QIDQ6147839

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Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06644-2

zbMATH Keywords

rectangular domaininhomogeneous third-order equation with lower terms

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boundary value problems for linear higher-order PDEs (35G15) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Potenziali di linea e di dominio per equazioni non paraboliche in due variabili a caratteristiche multiple
• On the solution of a boundary-value problem for a third-order equation with multiple characteristics
• Boundary value problem for third order partial integro-differential equation with a degenerate kernel
• Third boundary-value problem for a third-order differential equation with multiple characteristics
• Boundary Value Problems for Third Order Equations with Discontinuous Coefficient
• On the theory of the third-order equation with multiple characteristics containing the second time derivative
• Нелокальные задачи с интегральным условием для дифференциальных уравнений третьего порядка
• Об автомодельном решении одного уравнения третьего порядка с кратными характеристиками
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