Geodesic
Oscillation equation of a beam with fixed and pivotally supporter ends
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2020), pp. 3-8

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The problem of existence of periodic solutions of 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. 
@article{VMUMM_2020_2_a0,
     author = {I. A. Rudakov},
     title = {Oscillation equation of a beam with fixed and pivotally supporter ends},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {3--8},
     publisher = {mathdoc},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2020_2_a0/}
}
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I. A. Rudakov. Oscillation equation of a beam with fixed and pivotally supporter ends. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2020), pp. 3-8. http://geodesic.mathdoc.fr/item/VMUMM_2020_2_a0/