Asymptotic behavior of unbounded solutions of second-order differential equations with general nonlinearities
Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 32 (2019) no. 32, pp. 239-256
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One considers second-order ordinary differential equations with general nonlinearities and a bounded potential. Depending on the type of nonlinearity, qualitative behavior of solutions is described. For solutions that are unbounded near the boundaries of their domain, asymptotic formulas are obtained in the case of equations with constant or variable potentials.
@article{TSP_2019_32_32_a10,
author = {T. A. Korchemkina},
title = {Asymptotic behavior of unbounded solutions of second-order differential equations with general nonlinearities},
journal = {Trudy Seminara im. I.G. Petrovskogo},
pages = {239--256},
publisher = {mathdoc},
volume = {32},
number = {32},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TSP_2019_32_32_a10/}
}
TY - JOUR AU - T. A. Korchemkina TI - Asymptotic behavior of unbounded solutions of second-order differential equations with general nonlinearities JO - Trudy Seminara im. I.G. Petrovskogo PY - 2019 SP - 239 EP - 256 VL - 32 IS - 32 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TSP_2019_32_32_a10/ LA - ru ID - TSP_2019_32_32_a10 ER -
%0 Journal Article %A T. A. Korchemkina %T Asymptotic behavior of unbounded solutions of second-order differential equations with general nonlinearities %J Trudy Seminara im. I.G. Petrovskogo %D 2019 %P 239-256 %V 32 %N 32 %I mathdoc %U http://geodesic.mathdoc.fr/item/TSP_2019_32_32_a10/ %G ru %F TSP_2019_32_32_a10
T. A. Korchemkina. Asymptotic behavior of unbounded solutions of second-order differential equations with general nonlinearities. Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 32 (2019) no. 32, pp. 239-256. http://geodesic.mathdoc.fr/item/TSP_2019_32_32_a10/