Geodesic
Periodic solutions of a fourth-order nonlinear spectral problem
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 3, Tome 192 (2021), pp. 20-25

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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. 
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     author = {I. V. Astashova and D. A. Sokolov},
     title = {Periodic solutions of a fourth-order nonlinear spectral problem},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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     publisher = {mathdoc},
     volume = {192},
     year = {2021},
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I. V. Astashova; D. A. Sokolov. Periodic solutions of a fourth-order nonlinear spectral problem. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 3, Tome 192 (2021), pp. 20-25. http://geodesic.mathdoc.fr/item/INTO_2021_192_a1/