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Mathematical Colloquium of the Bauman Moscow State Technical University
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On periodic solutions of the quasilinear Euler-Bernoulli equation I. A. Rudakov |
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Abstract: We will discuss some questions related to the problem of periodic solutions of the quasilinear Euler-Bernoulli equation with homogeneous boundary conditions on the segment. The asymptotic formulas of the corresponding Sturm-Liouville problem for eigenfunctions and eigenvalues, as well as the conditions for the invertibility of the differential operator of the equation, are obtained. For the quasilinear Euler-Bernoulli equation, we obtain the conditions of existence, uniqueness, non-existence, and countable solvability. Zoom-conference identificator: 948 341 6153; Password: 2SXtEz Website: https://us02web.zoom.us/j/9483416153?pwd=NzJmdk5pZjdiMXdoMUFoakNzNFhLQT09 |