BOUNDARY VALUE PROBLEM IN A CYLINDER FOR A PSEUDOHYPERBOLIC EQUATION

DOI10.47475/2500-0101-2023-8-4-469-482MaRDI QIDQ6125690

Lina Nikolaevna Bondar, Unnamed Author, Gennadii V. Demidenko

Publication date: 11 April 2024

Published in: Челябинский физико-математический журнал (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/chfmj343

zbMATH Keywords

Galerkin methodSobolev spacesgeneralized solutionpseudohyperbolic equation

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Partial differential equations (35-XX)

Cites Work

• Solvability conditions of the Cauchy problem for pseudohyperbolic equations
• Longitudinal vibrations of a Rayleigh-Bishop rod
• The Cauchy problem for hyperbolic equations not resolved with respect to the highest time derivative
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• On solvability of the boundary value problem for one pseudohyperbolic equation
• Cauchy problem for the torsional vibration equation of a nonlinear-elastic rod of infinite length
• Linear Sobolev type equations and degenerate semigroups of operators
• A PROBLEM WITH AN INTEGRAL CONDITION OF THE FIRST KIND FOR AN EQUATION OF THE FOURTH ORDER
• Boundary value problems for one pseudohyperbolic equation in a quarter plane
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