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Trudy Seminara imeni I. G. Petrovskogo, 2019, Issue 32, Pages 239–256
(Mi tsp109)
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This article is cited in 2 scientific papers (total in 2 papers)
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.
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
Linking options:
https://www.mathnet.ru/eng/tsp109 https://www.mathnet.ru/eng/tsp/v32/p239
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Statistics & downloads: |
Abstract page: | 130 | Full-text PDF : | 45 | References: | 21 |
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