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Bulletin of Irkutsk State University. Series Mathematics, 2010, Volume 3, Issue 2, Pages 51–60
(Mi iigum156)
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On solutions of differential inclusions with impulse structure
D. V. Ponomariov Institute of Mathematics, Economics and Information Science, Irkutsk State University, 20, Gagarin Blvd., Irkutsk, 664003
Abstract:
Two types of differential inclusions with impulse structure are considered in this article. First inclusions with delta-functions as summands and then others with delta-functions as coefficients are distinguished. Structure of solutions for these inclusions is determined and conditions for existence of the solutions are proved.
Keywords:
differential inclusion; delta-function; discontinuous trajectories; impulse system.
Citation:
D. V. Ponomariov, “On solutions of differential inclusions with impulse structure”, Bulletin of Irkutsk State University. Series Mathematics, 3:2 (2010), 51–60
Linking options:
https://www.mathnet.ru/eng/iigum156 https://www.mathnet.ru/eng/iigum/v3/i2/p51
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Abstract page: | 144 | Full-text PDF : | 168 | References: | 26 |
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