Asymptotic representations of singular solutions of second-order differential equations with properly varying nonlinearities

Bilozerova Mary

Bilozerova Mary ¹

¹ Department of Differential Equations, Geometry and Topology, Odesa I.I. Mechnikov National University, Odesa, 65037, Ukraine

Keywords: asymptotic representations, second order differential equations

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Abstract

We provide necessary and sufficient conditions for the existence of a class of non-oscillating solutions of second order equations containing non-linearities of a power type in the right-hand side. We also obtain asymptotic representations for these solutions and their derivatives.

References

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[5] Belozerova M.A. Asymptotic images of solutions of second-order differential equations with nonlinearities in some sense close to power law // Scientific Bulletin of Chernivtsi University. - Chernivtsi: “Ruta. - 2008. - Issue 374. - С. 34-43.

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Cite

ACS Style: Bilozerova, M. Asymptotic representations of singular solutions of second-order differential equations with properly varying nonlinearities. Bukovinian Mathematical Journal. 2016, 3
AMA Style: Bilozerova M. Asymptotic representations of singular solutions of second-order differential equations with properly varying nonlinearities. Bukovinian Mathematical Journal. 2016; 3(2).
Chicago/Turabian Style: Mary Bilozerova. 2016. "Asymptotic representations of singular solutions of second-order differential equations with properly varying nonlinearities". Bukovinian Mathematical Journal. 3 no. 2.

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