Geodesic
A method for solving linear differential-algebraic systems of equations supplemented with nonlocal conditions specified by the Stieltjes integral
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 8, pp. 1287-1290

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A method is proposed for solving linear differential-algebraic systems of equations supplemented with nonlocal conditions specified by the Stieltjes integral. The method is based on a series of successive transformations of the original system. The result is either a normal system of differential equations or a system of algebraic equations. In the first case, the use of the supplementary nonlocal condition is realized through the introduction of auxiliary boundary conditions of a standard type. 
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     author = {V. I. Ul'yanova},
     title = {A method for solving linear differential-algebraic systems of equations supplemented with nonlocal conditions specified by the {Stieltjes} integral},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1287--1290},
     publisher = {mathdoc},
     volume = {53},
     number = {8},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_8_a5/}
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V. I. Ul'yanova. A method for solving linear differential-algebraic systems of equations supplemented with nonlocal conditions specified by the Stieltjes integral. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 8, pp. 1287-1290. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_8_a5/