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Asymptotic representations of solutions of second-order differential equations with nonlinearities in some sense close to power-law ones
Bilozerova Mary 1
1 Department of Differential Equations, Geometry and Topology, Odesa I.I. Mechnikov National University, Odesa, 65037, Ukraine
Keywords: differential equations, nonlinearities, of solutions
Abstract

Necessary and sufficient conditions for the existence of a class of non-oscillating solutions were stated for the equations of the second order with non-linearities which, to some extend, are close to the power ones, and asymptotic representations under t↑ω (ω≤+∞)" role="presentation" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.94px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> were obtained for these solutions.

Cite
ACS Style
Bilozerova, M. Asymptotic representations of solutions of second-order differential equations with nonlinearities in some sense close to power-law ones. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Bilozerova M. Asymptotic representations of solutions of second-order differential equations with nonlinearities in some sense close to power-law ones. Bukovinian Mathematical Journal. 2018; 1(374).
Chicago/Turabian Style
Mary Bilozerova. 2018. "Asymptotic representations of solutions of second-order differential equations with nonlinearities in some sense close to power-law ones". Bukovinian Mathematical Journal. 1 no. 374.
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