The problem of existence of periodic solutions to a quasilinear equation of forced oscillations of an I-beam whose one end is fixed and the second one is pivotally supported is studied. Properties of the differential operator are given and the theorem on the existence of a countable number of solutions is proved in the case the nonlinear term has a power growth.

中文翻译：

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固定和枢轴支撑端的梁的振动方程

研究了一端固定，第二端被枢轴支承的工字梁的准振荡的拟线性方程的周期解的存在性问题。给出了微分算子的性质，并证明了在非线性项具有幂次增长的情况下，存在无数解的定理。