I. V. Astashova, D. A. Sokolov, “Periodic solutions of a fourth-order nonlinear spectral problem”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2021, Volume 192,Pages <nobr>20

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Periodic solutions of a fourth-order nonlinear spectral problem

I. V. Astashova^ab, D. A. Sokolov^b

^a Plekhanov Russian State University of Economics, Moscow
^b Lomonosov Moscow State University

Abstract: In this paper, the existence of a periodic solution to a nonlinear spectral problem of the fourth order with an integral condition is proved.

Keywords: fourth-order nonlinear problem, integral condition, periodic solution, problem with spectral parameter.

UDC: 517.925.54

MSC: 34C25

DOI: 10.36535/0233-6723-2021-192-20-25