Geodesic
Almost periodic solutions of nonlinear ODE systems with two small parameters
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2019), pp. 89-92.

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

We deal with the problem of the existence and uniqueness of almost periodic solutions of a nonlinear ODE system with two small parameters. We prove the bifurcation theorem of almost periodic solutions for a nonlinear system of differential equations with two small positive parameters and an almost periodic right-hand side from the cycle of the generating system. The averaging principal in the problem of almost periodic solutions of a system of special type differential equations with two small parameters is proved.
Keywords: almost periodic solutions, small parameters, nonlinear system
Mots-clés : bifurcation. 
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     author = {N. A. Pismennyy},
     title = {Almost periodic solutions of nonlinear {ODE} systems with two small parameters},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {89--92},
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     year = {2019},
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     url = {http://geodesic.mathdoc.fr/item/IVM_2019_6_a9/}
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N. A. Pismennyy. Almost periodic solutions of nonlinear ODE systems with two small parameters. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2019), pp. 89-92. http://geodesic.mathdoc.fr/item/IVM_2019_6_a9/

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