PROBLEM WITH AN INTEGRAL CONDITION FOR ONE-DIMENSIONAL HYPERBOLIC EQUATION

DOI10.18287/2541-7525-2018-24-4-7-12zbMath1429.35149OpenAlexW2924081526WikidataQ128169575 ScholiaQ128169575MaRDI QIDQ5204934

Andreĭ Vladimirovich Bogatov

Publication date: 10 December 2019

Published in: Vestnik of Samara University. Natural Science Series (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgu592

zbMATH Keywords

vibrations of the rod

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Initial-boundary value problems for second-order hyperbolic equations (35L20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Theory of free and forced vibrations of a rigid rod based on the Rayleigh model
• Boundary-value problems for a hyperbolic equation with nonlocal conditions of the I and II kind
• Задача о колебаниях упруго закрепленного нагруженного стержня
• Uniqueness of the solution of a mixed problem for the wave equation with nonlocal boundary conditions
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