Vestnik of Samara University. Natural Science SeriesVestnik of Samara University. Natural Science Series2541-75252712-8954Samara National Research University455310.18287/2541-7525-2014-20-3-9-19TASK ON LONGITUDINAL VIBRATIONS OF A ROD WITH DYNAMIC BOUNDARY CONDITIONSBeylinA.B.morenov.sv@ssau.ruPulkinaL.S.morenov.sv@ssau.ru011020142039193005201730052017Copyright © 2014, Beylin A., Pulkina L.2014In 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.стержень Рэлеядинамические граничные условияобобщенное решениеRayleigh roddynamicboundary conditionsgeneralized solution