Asymptotic representations of slowly varying junctions of binomial differential equations of the second order with nonlinearities of various types
1 Department of Higher Mathematics and Statistics, South Ukrainian National Pedagogical University named after K. D. Ushynsky, Odesa, 65037, Ukraine
Keywords:
Asymptotic representations, differential equations of the second order
Abstract
The work is devoted to researching of the sufficiently wide class of slowly varying solutions of the second order differential equations with regularly and rapidly varying nonlinearities. We have The necessary and sufficient conditions of the existence of such solutions were obtained. The representations for such solutions and their derivatives of the first order as the argument tends to the singulary point were also found.
Cite
- ACS Style
- Chepok, O. Asymptotic representations of slowly varying junctions of binomial differential equations of the second order with nonlinearities of various types. Bukovinian Mathematical Journal. 2017, 4
- AMA Style
- Chepok O. Asymptotic representations of slowly varying junctions of binomial differential equations of the second order with nonlinearities of various types. Bukovinian Mathematical Journal. 2017; 4(3-4).
- Chicago/Turabian Style
- Olga Chepok. 2017. "Asymptotic representations of slowly varying junctions of binomial differential equations of the second order with nonlinearities of various types". Bukovinian Mathematical Journal. 4 no. 3-4.
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