A boundary value problem for a linear degenerate singularly perturbed system of second-order differential equations
1 Department of Higher Mathematics, Nizhyn State University named after Mykola Gogol, Chernihiv region, Nizhin, 16600, Ukraine
Keywords:
boundary value problem, system of differential equations
Abstract
We investigated the possibility of construction of the asymptotic solution of the boundary-
value problem for a linear singularly perturbed system of differential equations of second order
with identically degenerated matrix at the derivatives of higher orders in case where the boundary
bundle of matrixes has simple spectrum. We obtain conditions for the existence and uniqueness
of a solution of this boundary-value problem and construct its asymptotic in the form of a power
series with degrees of a small parameter.
Cite
- ACS Style
- Vira, M.B. A boundary value problem for a linear degenerate singularly perturbed system of second-order differential equations. Bukovinian Mathematical Journal. 2016, 2
- AMA Style
- Vira MB. A boundary value problem for a linear degenerate singularly perturbed system of second-order differential equations. Bukovinian Mathematical Journal. 2016; 2(4).
- Chicago/Turabian Style
- Maryna Borysivna Vira. 2016. "A boundary value problem for a linear degenerate singularly perturbed system of second-order differential equations". Bukovinian Mathematical Journal. 2 no. 4.
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