Trudy Seminara imeni I. G. Petrovskogo
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 Tr. Semim. im. I. G. Petrovskogo, 2019, Issue 32, Pages 239–256 (Mi tsp109)

Asymptotic behavior of unbounded solutions of second-order differential equations with general nonlinearities

T. A. Korchemkina

Abstract: 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.

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English version:
Journal of Mathematical Sciences (New York), 2020, 244:2, 267–277

UDC: 517.911.7

Citation: T. A. Korchemkina, “Asymptotic behavior of unbounded solutions of second-order differential equations with general nonlinearities”, Tr. Semim. im. I. G. Petrovskogo, 32, 2019, 239–256; J. Math. Sci. (N. Y.), 244:2 (2020), 267–277

Citation in format AMSBIB
\Bibitem{Kor19} \by T.~A.~Korchemkina \paper Asymptotic behavior of unbounded solutions of second-order differential equations with general nonlinearities \serial Tr. Semim. im. I. G. Petrovskogo \yr 2019 \vol 32 \pages 239--256 \mathnet{http://mi.mathnet.ru/tsp109} \elib{https://elibrary.ru/item.asp?id=43215395} \transl \jour J. Math. Sci. (N. Y.) \yr 2020 \vol 244 \issue 2 \pages 267--277 \crossref{https://doi.org/10.1007/s10958-019-04618-x} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85076004451}