Solving a singular nonlocal problem with redundant conditions for a system of linear ordinary differential equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 3, pp. 385-392
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A system of linear ordinary differential equations is examined on an infinite or semi-infinite interval. The basic conditions are nonlocal and are specified by a Stieltjes integral; moreover, certain redundant (and also nonlocal) conditions are imposed. At infinity, the solution is required to be bounded. A method for solving such an over-determined problem is proposed and analyzed. The method is numerically stable if an auxiliary problem that replaces the original one is numerically stable.
@article{ZVMMF_2015_55_3_a2,
author = {A. A. Abramov and L. F. Yukhno},
title = {Solving a singular nonlocal problem with redundant conditions for a system of linear ordinary differential equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {385--392},
publisher = {mathdoc},
volume = {55},
number = {3},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_3_a2/}
}
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A. A. Abramov; L. F. Yukhno. Solving a singular nonlocal problem with redundant conditions for a system of linear ordinary differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 3, pp. 385-392. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_3_a2/