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Bulletin of Irkutsk State University. Series Mathematics, 2015, Volume 11, Pages 13–27
(Mi iigum214)
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This article is cited in 3 scientific papers (total in 3 papers)
About some properties of degenerate systems of linear integro-differential equations. I
N. D. Banga, V. F. Chistyakovb, E. V. Chistyakovab a Irkutsk State Technical University, 83, Lermontov st., Irkutsk, 664034
b Institute of System Dynamics and Control Theory RAS, 134, Lermontov st., Irkutsk, 664033
Abstract:
This paper contains the linear system integro-differential equations (IDE), with an identically degenerate or rectangular matrix at the derivative of the unknown vector functions, including systems with a weak singularity in the kernel. This paper discusses the structure of the common solutions of such systems.
Keywords:
integro-differential equations, index, general solution, singular points.
Citation:
N. D. Bang, V. F. Chistyakov, E. V. Chistyakova, “About some properties of degenerate systems of linear integro-differential equations. I”, Bulletin of Irkutsk State University. Series Mathematics, 11 (2015), 13–27
Linking options:
https://www.mathnet.ru/eng/iigum214 https://www.mathnet.ru/eng/iigum/v11/p13
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