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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 8, Pages 1287–1290
DOI: https://doi.org/10.7868/S0044466913080115 (Mi zvmmf9900) 		 
A method for solving linear differential-algebraic systems of equations supplemented with nonlocal conditions specified by the Stieltjes integral

V. I. Ul'yanova

Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.7868/S0044466913080115
Abstract: 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.
Key words: differential-algebraic system of equations, supplementary linear nonlocal condition, Stieltjes integral, method of successive transformations.
Received: 07.03.2013
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 8, Pages 1113–1116
DOI: https://doi.org/10.1134/S0965542513080113
Bibliographic databases:
Document Type: Article
UDC: 519.622.2
Language: Russian
Citation: V. I. Ul'yanova, “A method for solving linear differential-algebraic systems of equations supplemented with nonlocal conditions specified by the Stieltjes integral”, Zh. Vychisl. Mat. Mat. Fiz., 53:8 (2013), 1287–1290; Comput. Math. Math. Phys., 53:8 (2013), 1113–1116
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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