A PROBLEM ON LONGITUDINAL VIBRATION IN A SHORT BAR WITH DYNAMICAL BOUNDARY CONDITIONS

DOI10.18287/2541-7525-2017-23-4-7-18zbMath1427.74082OpenAlexW2803837737MaRDI QIDQ5203845

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Publication date: 9 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/vsgu557

zbMATH Keywords

generalized solutionnonlocal conditionslongitudinal vibrationdynamical boundary conditionspseudohyperbolic equation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (3)

A boundary problem for the fourth order equation with a singular coefficient in a rectangular region ⋮ ON SMOOTHNESS OF SOLUTION OF ONE NONLOCAL PROBLEM FOR HYPERBOLIC EQUATION ⋮ Задача с динамическим краевым условием для одномерного гиперболического уравнения

Cites Work

• A problem with dynamic nonlocal condition for pseudohyperbolic equation
• 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
• Blow-up of solutions of nonclassical nonlocal nonlinear model equations
• On the classical solvability of the mixed problem for a second-order one-dimensional hyperbolic equation
• On the solvability of boundary value problems with a nonlocal boundary condition of integral form for multidimensional hyperbolic equations
• Uniqueness of the solution of a mixed problem for the wave equation with nonlocal boundary conditions
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