A nonlocal problem for singular linear systems of ordinary differential equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 7, pp. 1228-1235
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A system of linear ordinary differential equations is examined on an infinite half-interval. This system is supplemented by the boundedness condition for solutions and a nonlocal linear condition specified by the Stieltjes integral. A method for approximating the resulting problem by a problem posed on a finite interval is proposed, and the properties of the latter are investigated. A numerically stable method for solving this problem is examined. This method uses an auxiliary boundary value problem with separated boundary conditions.
@article{ZVMMF_2011_51_7_a4,
author = {A. A. Abramov and V. I. Ul'yanova and L. F. Yukhno},
title = {A~nonlocal problem for singular linear systems of ordinary differential equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1228--1235},
publisher = {mathdoc},
volume = {51},
number = {7},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_7_a4/}
}
TY - JOUR AU - A. A. Abramov AU - V. I. Ul'yanova AU - L. F. Yukhno TI - A nonlocal problem for singular linear systems of ordinary differential equations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2011 SP - 1228 EP - 1235 VL - 51 IS - 7 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_7_a4/ LA - ru ID - ZVMMF_2011_51_7_a4 ER -
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A. A. Abramov; V. I. Ul'yanova; L. F. Yukhno. A nonlocal problem for singular linear systems of ordinary differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 7, pp. 1228-1235. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_7_a4/