Geodesic
On solutions of differential inclusions with impulse structure
The Bulletin of Irkutsk State University. Series Mathematics, Tome 3 (2010) no. 2, pp. 51-60

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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. 
@article{IIGUM_2010_3_2_a5,
     author = {D. V. Ponomariov},
     title = {On solutions of differential inclusions with impulse structure},
     journal = {The Bulletin of Irkutsk State University. Series Mathematics},
     pages = {51--60},
     publisher = {mathdoc},
     volume = {3},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIGUM_2010_3_2_a5/}
}
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D. V. Ponomariov. On solutions of differential inclusions with impulse structure. The Bulletin of Irkutsk State University. Series Mathematics, Tome 3 (2010) no. 2, pp. 51-60. http://geodesic.mathdoc.fr/item/IIGUM_2010_3_2_a5/