Geodesic
Asymptotics of oscillating solutions to equations with power nonlinearities
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016, Tome 132 (2017), pp. 7-11
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We present results on the existence of oscillating solutions of specific form (“quasiperiodic” solutions) for a nonlinear differential equation with power nonlinearity. For oscillating solutions to third-order equations of this type, we obtain an asymptotics of extremums, which is expressed through the asymptotics of extremums of a “quasiperiodic” solution. These results clarify the asymptotic formulas for the modules of extremums of solutions obtained by the author earlier.
Keywords: oscillating solution, asymptotic behavior, nonlinear equation. 
@article{INTO_2017_132_a1,
     author = {I. V. Astashova},
     title = {Asymptotics of oscillating solutions to equations with power nonlinearities},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {7--11},
     year = {2017},
     volume = {132},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2017_132_a1/}
}
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I. V. Astashova. Asymptotics of oscillating solutions to equations with power nonlinearities. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016, Tome 132 (2017), pp. 7-11. http://geodesic.mathdoc.fr/item/INTO_2017_132_a1/