Geodesic
Task on longitudinal vibrations of a rod with dynamic boundary conditions
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 3 (2014), pp. 9-19

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In this paper, one-dimensional longitudinal vibration of a solid rod fixed at the ends by means of local masses and springs is studied. As a mathematical model we use Rayleigh rod. The existence and uniqueness of a generalized solution are proved.
Keywords: Rayleigh rod, dynamic boundary conditions, generalized solution. 
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     author = {A. B. Beylin and L. S. Pulkina},
     title = {Task on longitudinal vibrations of a rod with dynamic boundary conditions},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {9--19},
     publisher = {mathdoc},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2014_3_a0/}
}
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A. B. Beylin; L. S. Pulkina. Task on longitudinal vibrations of a rod with dynamic boundary conditions. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 3 (2014), pp. 9-19. http://geodesic.mathdoc.fr/item/VSGU_2014_3_a0/