Geodesic
Cyclic solutions of the Pontryagin equation with a small parameter
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 5, Tome 194 (2021), pp. 167-171

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, we examine the existence of periodic solutions to systems of nonlinear equations with a small parameter. We find conditions for the existence of periodic solutions, which expand the range of applicability of Pontryagin's method of small parameter.
Keywords: differential equation, periodic solution, topological methods, rotation of a vector field. 
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     author = {Z. I. Sharifzoda and \`E. M. Muhamadiev and I. D. Nurov},
     title = {Cyclic solutions of the {Pontryagin} equation with a small parameter},
     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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     volume = {194},
     year = {2021},
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     url = {http://geodesic.mathdoc.fr/item/INTO_2021_194_a15/}
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Z. I. Sharifzoda; È. M. Muhamadiev; I. D. Nurov. Cyclic solutions of the Pontryagin equation with a small parameter. 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 5, Tome 194 (2021), pp. 167-171. http://geodesic.mathdoc.fr/item/INTO_2021_194_a15/