To the study of one boundary value problem
1 Department of Aplied Mathematics and Information Technologies, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
2 Department of Mathematical Problems of Management and Cybernetics, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords:
boundary value problem
Abstract
We propose a modification of a numerical-analytic method without a determining equation
for investigation of a system of differential equations with a transformed argument and boundary
conditions in the form
Ax
(0) +
Bx
(
T
) +
C
T
∫
0
x
(
t
)
dt
=
d
. Sufficient conditions for the existence of a
unique solution of a boundary value problem and an error estimation of the constructed successive
approximations are obtained.
Cite
- ACS Style
- Filipchuk, M.P.; Filipchuk, O.I. To the study of one boundary value problem. Bukovinian Mathematical Journal. 2016, 2
- AMA Style
- Filipchuk MP, Filipchuk OI. To the study of one boundary value problem. Bukovinian Mathematical Journal. 2016; 2(4).
- Chicago/Turabian Style
- Mykola Petrovych Filipchuk, Olga Igorivna Filipchuk. 2016. "To the study of one boundary value problem". Bukovinian Mathematical Journal. 2 no. 4.
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