Oscillations of the process described by the telegraph equation for a system consisting of two segments with different densities and elasticities

DOI10.1134/S106456241201022XzbMath1245.35128MaRDI QIDQ416932

Publication date: 10 May 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

Mixed problems for the telegraph equation in the case of a system consisting of two segments with different densities and elasticities but equal impedances: one-sided control
Mixed problems for the telegraph equation in the case of a system consisting of two segments with different densities and elasticities but equal impedances
Reduction of the vibrations of an initially stationary rod consisting of two different segments to an arbitrary state
D'Alembert-type formula for vibrations of an infinite rod consisting of two segments with different densities described by the telegraph equation
Solution of mixed problems with boundary elastic-force control for the telegraph equation
Longitudinal vibrations of a rod consisting of two segments with different densities and elasticity coefficients but with identical travel times on each segment

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