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Asymptotic representations of slowly varying solutions of second-order differential equations with nonlinearities of various types in the right-hand side
Kolun N. P. 1
1 Military Academy, Odesa, Odesa, 65009, Ukraine
Keywords: second-order differential equations, existence conditions, asymptotic representations, slowly variable solutions
Abstract
Existence conditions and asymptotic as $t ↑ ω (ω ≤ +∞)$  representations are obtained for $P_ω(Y_0,0)$ – solutions of second-order differential equations whose right-hand side contains a sum of terms with nonlinearities of different types.
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Cite
ACS Style
Kolun, N.P. Asymptotic representations of slowly varying solutions of second-order differential equations with nonlinearities of various types in the right-hand side. Bukovinian Mathematical Journal. 2019, 6 https://doi.org/https://doi.org/10.31861/bmj2018.03.089
AMA Style
Kolun NP. Asymptotic representations of slowly varying solutions of second-order differential equations with nonlinearities of various types in the right-hand side. Bukovinian Mathematical Journal. 2019; 6(3-4). https://doi.org/https://doi.org/10.31861/bmj2018.03.089
Chicago/Turabian Style
N. P. Kolun. 2019. "Asymptotic representations of slowly varying solutions of second-order differential equations with nonlinearities of various types in the right-hand side". Bukovinian Mathematical Journal. 6 no. 3-4. https://doi.org/https://doi.org/10.31861/bmj2018.03.089
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